{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jmschr/anaconda2/lib/python2.7/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['random', 'log']\n",
      "`%matplotlib` prevents importing * from pylab and numpy\n",
      "  \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
     ]
    }
   ],
   "source": [
    "from pomegranate import *\n",
    "import seaborn\n",
    "%pylab inline\n",
    "seaborn.set_style('whitegrid')\n",
    "numpy.set_printoptions(suppress=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Naive Bayes and Bayes Classifiers: A Tutorial\n",
    "\n",
    "author: Jacob Schreiber <br>\n",
    "contact: jmschreiber91@gmail.com\n",
    "\n",
    "Bayes classifiers are some of the simplest machine learning models that exist, due to their intuitive probabilistic interpretation and simple fitting step. Each class is modeled as a probability distribution, and the data is interpreted as samples drawn from these underlying distributions. Fitting the model to data is as simple as calculating maximum likelihood parameters for the data that falls under each class, and making predictions is as simple as using Bayes' rule to determine which class is most likely given the distributions. Bayes' Rule is the following: \n",
    "\n",
    "\\begin{equation}\n",
    "P(M|D) = \\frac{P(D|M)P(M)}{P(D)}\n",
    "\\end{equation}\n",
    "\n",
    "where M stands for the model and D stands for the data. $P(M)$ is known as the <i>prior</i>, because it is the probability that a sample is of a certain class before you even know what the sample is. This is generally just the frequency of each class. Intuitively, it makes sense that you would want to model this, because if one class occurs 10x more than another class, it is more likely that a given sample will belong to that distribution. $P(D|M)$ is the likelihood, or the probability, of the data under a given model. Lastly, $P(M|D)$ is the posterior, which is the probability of each component of the model, or class, being the component which generated the data. It is called the posterior because the prior corresponds to probabilities before seeing data, and the posterior corresponds to probabilities after observing the data. In cases where the prior is uniform, the posterior is just equal to the normalized likelihoods. This equation forms the basis of most probabilistic modeling, with interesting priors allowing the user to inject sophisticated expert knowledge into the problem directly.\n",
    "\n",
    "Let's take a look at some single dimensional data in order to introduce these concepts more thoroughly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA7sAAAFFCAYAAAAtnfq2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAgOX8P06GFWmbP0EoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae563ff8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = numpy.concatenate((numpy.random.normal(3, 1, 200), numpy.random.normal(10, 2, 1000)))\n",
    "y = numpy.concatenate((numpy.zeros(200), numpy.ones(1000)))\n",
    "\n",
    "x1 = X[:200]\n",
    "x2 = X[200:]\n",
    "\n",
    "plt.figure(figsize=(16, 5))\n",
    "plt.hist(x1, bins=25, color='m', edgecolor='m', label=\"Class A\")\n",
    "plt.hist(x2, bins=25, color='c', edgecolor='c', label=\"Class B\")\n",
    "plt.xlabel(\"Value\", fontsize=14)\n",
    "plt.ylabel(\"Count\", fontsize=14)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data seems like it comes from two normal distributions, with the cyan class being more prevalent than the magenta class. A natural way to model this data would be to create a normal distribution for the cyan data, and another for the magenta distribution.\n",
    "\n",
    "Let's take a look at doing that. All we need to do is use the `from_samples` class method of the `NormalDistribution` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA78AAAFFCAYAAAAkdlrMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERERHp9/4f9DTfx+WZJ0gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52ff8610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d1 = NormalDistribution.from_samples(x1)\n",
    "d2 = NormalDistribution.from_samples(x2)\n",
    "idxs = numpy.arange(0, 15, 0.1)\n",
    "\n",
    "p1 = map(d1.probability, idxs)\n",
    "p2 = map(d2.probability, idxs)\n",
    "\n",
    "plt.figure(figsize=(16, 5))\n",
    "plt.plot(idxs, p1, color='m'); plt.fill_between(idxs, 0, p1, facecolor='m', alpha=0.2)\n",
    "plt.plot(idxs, p2, color='c'); plt.fill_between(idxs, 0, p2, facecolor='c', alpha=0.2)\n",
    "plt.xlabel(\"Value\", fontsize=14)\n",
    "plt.ylabel(\"Probability\", fontsize=14)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks like some aspects of the data are captured well by doing things this way-- specifically the mean and variance of the normal distributions. This allows us to easily calculate $P(D|M)$ as the probability of a sample under either the cyan or magenta distributions using the normal (or Gaussian) probability density equation:\n",
    "\n",
    "\\begin{align}\n",
    "P(D|M) &= P(x|\\mu, \\sigma) \\\\\n",
    "       &= \\frac{1}{\\sqrt{2\\pi\\sigma^{2}}} exp \\left(-\\frac{(x-u)^{2}}{2\\sigma^{2}} \\right) \n",
    "\\end{align}\n",
    "\n",
    "However, if we look at the original data, we see that the cyan distributions is both much wider than the purple distribution and much taller, as there were more samples from that class in general. If we reduce that data down to these two distributions, we lose the class imbalance. We want our prior to model this class imbalance, with the reasoning being that if we randomly draw a sample from the samples observed thus far, it is far more likely to be a cyan than a magenta sample. Let's take a look at this class imbalance exactly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAF6CAYAAAAUF524AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSOj/AS7MFbt1SxnaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52e80950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "magenta_prior = 1. * len(x1) / len(X)\n",
    "cyan_prior = 1. * len(x2) / len(X)\n",
    "\n",
    "plt.figure(figsize=(4, 6))\n",
    "plt.title(\"Prior Probabilities P(M)\", fontsize=14)\n",
    "plt.bar(0, magenta_prior, facecolor='m', edgecolor='m')\n",
    "plt.bar(1, cyan_prior, facecolor='c', edgecolor='c')\n",
    "plt.xticks([0, 1], ['P(Magenta)', 'P(Cyan)'], fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The prior $P(M)$ is a vector of probabilities over the classes that the model can predict, also known as components. In this case, if we draw a sample randomly from the data that we have, there is a ~83% chance that it will come from the cyan class and a ~17% chance that it will come from the magenta class.\n",
    "\n",
    "Let's multiply the probability densities we got before by this imbalance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA8cAAAFJCAYAAAC2Kl/bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl4U2XePvD7JE2brmmT0tAlXdJS2kIHEBkUWRxFVpFF\nURRw4R0GRoqAiuiwWRwERNkRFLdhBnTQUd5RBnxRxnUQmdKhS9K9pSvd071N25zfH2J/dihtgTYn\nae/PdeWiOef0OXd8bNNvznmeRxBFUQQRERERERFRPyaTOgARERERERGR1FgcExERERERUb/H4piI\niIiIiIj6PRbHRERERERE1O+xOCYiIiIiIqJ+j8UxERERERER9XssjomIiIiIiKjfs2pxXFRUhKVL\nl2L06NGYMGECNm3aBLPZfM3jjxw5gmHDhmHv3r3ttk+ePBnR0dHtHpGRkdi3bx8A4K677sKQIUPa\n7V+8eHGvvjYiIiIiIiKyXw7WPFlMTAzCw8Nx+vRp1NTUICYmBnv27MGzzz7b4bFVVVXw8fG5at/n\nn3/e7nlZWRnuvfdeTJ48uW3bSy+9hDlz5vT8iyAiIiIiIqI+x2pXjhMTE2EwGLB69Wp4eHjA398f\nS5YswbFjx2CxWK46PiIiAu+99x7c3d27bHvbtm2YNWsWBg0a1BvRiYiIiIiIqI+z2pXj5ORk+Pr6\nQq1Wt20bMmQIqqqqkJubi+Dg4HbHx8TEdKvdxMREfPPNN/jyyy/bbT9x4gTefPNNFBcXY/To0YiN\njYVWq+20rbi4uO69GCIiIiIiIrJLI0eO7HC71a4cm0wmeHh4tNumUqkAAJWVlTfc7v79+7Fw4UK4\nubm1bYuMjERUVBQ+/PBDfP7552hqasLy5ctv+BxERERERETUt1l1zLEoij3aXmZmJr777jts3bq1\n3fb9+/e3fe3u7o5169Zh2rRpyMrKgl6v77TNa32KYCvi4uJsPiO1xz6zP+wz+8L+sj/sM/vDPrM/\n7DP7wz6zjs7uFrbalWO1Wg2TydRu28/PNRrNDbV58uRJjBo1Cp6enp0e5+/vDwAoKSm5ofMQERER\nERFR32a14njo0KEoLi5GaWlp27aEhARoNBrodLobavOLL77AhAkT2m0rKCjAxo0b2y0RlZmZCQA3\nfB4iIiIiIiLq26xWHEdFRWH48OHYvn07ampqkJeXhwMHDmD+/PkQBAFTpkzBuXPnut2e2WxGeno6\nAgIC2m3XaDQ4c+YMtm7divr6ehQXF2PLli248847264gExEREREREf2S1YpjANi9ezeqq6sxbtw4\nzJ07F+PHj8fSpUsBANnZ2aivrwcAnD9/HtHR0YiOjobBYMCBAwcQHR2NRYsWtbVlMpnQ0tICb2/v\ndudQKpV46623kJ2djfHjx2PatGnQ6XTYvn279V4oERERERER2RWrTsil1Wpx8ODBDvelpqa2fT1q\n1CgkJiZ22paPj0+77/mlwYMH4913373xoERERERERNSvWPXKMREREREREZEtYnFMRERERERE/R6L\nYyIiIiIiIur3rDrmmIiIiIikV97cjPT6ephaWlDd2orqX/wrEwR4OjhA5eAAlVwOTwcHFLe2YqjF\nAicZr6sQUd/F4piIiIiojxJFERdra3G+pgZJdXVIrqtDcn09LpvN192W/JtvMMjFBdGurm2P21Uq\naB0deyE5EZH1sTgmIiIi6kPKm5txuqICpyoq8Hll5VWFsK+jI+7w8ECwUglPBwe4yuX//yGTwQKg\ntrUVNa2tqL3yyCwtRYWTEzIbGpBSX48PS0vb2hvp5oZpGg2mqtX4tYcH5IJg5VdMRNQzWBwTERER\n2bmqlha8X1yMw8XFOFddDcuV7WoHB0xXq3GLuztCnZ0RolTCVS6/7vaNVVWIjIiAKIoobm5GRkMD\n0uvr8WNNDeJraxFXW4uXLl2C2sEB0zQaLBo4EHd6ekJgoUxEdoTFMREREZEdEkUR/6quxltFRThW\nUoJ6iwUyAMPc3HC7hwfGqFQId3aGrAcLVEEQMNDREQMdHTFWpcITvr6oa23F+ZoafF9VhX9VVeEv\nxcX4S3ExBjk7Y7GvLx4bOBA+vPWaiOwAi2MiIiIiO9JkseCdoiLsKyiAob4eAODv6IgnvL1xr0aD\nAVYuRF3lctzp6Yk7PT1/GuNcV4dPSkvxRWUlnsvKwtrsbMz29saqgADcplJZNRsR0fVgcUxERERk\nB34uil/OzUV+UxMUgoBJXl6Y5e2NW93de/QK8Y0SBAHD3dww3M0Nz+h0+EdFBT4pLcWxK4+pajVi\ng4MxysND6qhERFdhcUxERERkw5osFrx7pSjOa2qCUibDAq0WC7VaaBQKqeNdk4eDA+b5+OChAQNw\nobYWbxYW4mRFBU5WVOBejQaxwcG4xd1d6phERG1YHBMRERHZIFEU8XFZGZ7OyECuHRXF/00QBIx0\nd8cbgwfj3zU1OFhYiM/Ky/FZeTlme3tjR2gogp2dpY5JRMTimIiIiMjWpNfXY3l6Oj6vrIRCEPCI\njw8eHTgQ3nZUFHfkVnd3HAoPx481NXijsBCflJXhVEUF1gUF4VmdDo4ymdQRiagfY3FMREREZCMa\nWluxJTcX23JzYRZF3ObhgdU6HYKUSqmj9RhBEDDawwO/dnfHqYoK7MzPx9rsbPy5uBj7Bw3CXV5e\nUkckon6KxTERERGRDfi/igosTUtDdmMjfBQKPK3T4e4+vFawIAiYqtFgrEqF1wsL8VFpKe6+eBGP\n+PhgZ1gYl38iIqvjvStEREREEmpobcWK9HRMTkhAXlMTFmq1+GjIEEz08uqzhfEvuTs4YE1gIA5H\nRCDKxQVHS0oQff48TpaXSx2NiPoZFsdEREREErlYW4tRcXHYU1CAEKUS70VEYEVAAFzkcqmjWV2k\nqyvejYjAyoAAVLa0YFpiIpanp6OhtVXqaETUT7A4JiIiIrIyiyji1dxc/DouDsn19Zg7YAD+HBmJ\nCBcXqaNJSi4IWKDV4k8REdArldhXUIBb4+JwsbZW6mhE1A+wOCYiIiKyohKzGZMuXsTqrCy4y+XY\nFRaGNYGBUHKm5jbhLi44HBmJBwcMgKG+Hr+Oi8OuvDyIoih1NCLqw/hbmIiIiMhK/l1djVvj4vCl\nyYRxKhXej4rCWJVK6lg2SSmT4bnAQOwKC4ObXI5VmZlYYDSinrdZE1EvYXFMREREZAWHL1/G2Ph4\n5Dc14Uk/P+wIDYXaztcttoaxKhWORkXhV66uOFpSgrHx8bjU2Ch1LCLqg1gcExEREfWiZosFT6Wn\n47GUFDjKZNgVFoZFvr79YibqnuKtUOBgeDhme3sjvrYWt8bF4avKSqljEVEfw+KYiIiIqJeUms24\n5+JF7C0oQKhSicMREbiDt1HfEEeZDGuDgvBCYCBMLS2YePEi9ubncxwyEfUYFsdEREREvSCjvh63\nX7iAr6uqcJenJ96JiIBOqZQ6lt27f8AAHAwPh6eDA57KyMCy9HS0skAmoh7A4piIiIioh/1YXY0x\n8fHIbGzE/wwciG16PVz74drFvWW4mxsOR0Yi3NkZBwoL8UByMtdDJqKbxuKYiIiIqAedKC/Hb/7z\nH5Q3N+OFwED83t+f44t7gdbREW8OHoxR7u44XlaGiRcvoqK5WepYRGTHrFocFxUVYenSpRg9ejQm\nTJiATZs2wWw2X/P4I0eOYNiwYdi7d2+77c8//zwiIyMRHR3d9hgxYkTb/urqajzzzDMYO3YsxowZ\ng2eeeQY1NTW99rqIiIiIAOCtwkLMTEyEBcD20FDcP2CA1JH6NDe5HLvDwjDZywv/qq7GHZzJmohu\nglWL45iYGHh5eeH06dM4evQo4uPjsWfPnmsee+rUKfj4+HS4f+bMmUhMTGx7xMfHt+1bt24dTCYT\njh8/jk8//RQmkwkbNmzolddEREREJIoiNuXkYHFaGtzlchwYNAgTPD2ljtUvOMpkeCkkBAu0WqRc\nGed9sbZW6lhEZIesVhwnJibCYDBg9erV8PDwgL+/P5YsWYJjx47BYrFcdXxERATee+89uLu7X9d5\nysrKcPr0aTz99NPw9vaGRqPBypUr8fnnn6OioqKnXg4RERERgJ8K4+eysrAxJwf+jo54OyIC0W5u\nUsfqV2SCgJUBAVgVEIAisxl3/uc/+LG6WupYRGRnrFYcJycnw9fXF2q1um3bkCFDUFVVhdzc3KuO\nj4mJgbyTiStSU1Px0EMP4ZZbbsGsWbNw4cIFAIDRaIQgCIiIiGg7NiIiAqIowmg09uArIiIiov5O\nFEWsyMjAq3l5CFYq8dbgwQjijNSSma/VYlNwMKqvLPX0fVWV1JGIyI44WOtEJpMJHh4e7baprqzz\nV1lZieDg4G63pdPp0NTUhGeeeQZeXl44ePAgfvvb3+L06dMwmUxwdXVtV1grFAq4urqishuLxcfF\nxXU7h1TsISO1xz6zP+wz+8L+sj99oc8soogtTU34pLkZAYKAZwUBZZmZKJM6WC+xl4sMIQCedHTE\n62Yz7omPxy5nZ4x0sNqfvDalL/yc9TfsM2lZ9TdFTy3SvmzZsnbPV65ciU8++QSnT5+Gq6vrTZ1n\n5MiRNxuvV8XFxdl8RmqPfWZ/2Gf2hf1lf/pCn7WKIv4nJQWf1NZisLMz9l9Zd7evMhqNiIyMlDpG\nt0UCCKqsxAvZ2VjZ1IRPw8Nxt5eX1LGsqi/8nPU37DPr6OwDCKvdVq1Wq2Eymdpt+/m5RqO5qbbl\ncjl8fX1RUlICtVqNuro6NP9iKv/m5mbU1dXd9HmIiIiIWiwWPGo04k/FxRji4oIDfbwwtle/8fLC\ndr0eLaKIexMTcaq8XOpIRGTjrFYcDx06FMXFxSgtLW3blpCQAI1GA51O1+12RFHEli1bkJKS0rbN\nbDYjNzcXOp0OkZGREAQBBoOhbX9SUhLkcjmioqJ65sUQERFRv9QqingsJQVHS0owzNUV+8PD4cHC\n2GaN8/TEjtBQiKKImUlJLJCJqFNWK46joqIwfPhwbN++HTU1NcjLy8OBAwcwf/58CIKAKVOm4Ny5\nc122IwgC8vPzERsbi+LiYtTV1eHVV1+FQqHApEmToFarMXXqVOzatQvl5eUoLS3Fjh07cN9997WN\ncSYiIiK6XqIoYmlaGo6WlOBXrq7YO2gQ3DqZPJRsw+0qFXaGhUEAMDs5GV//152MREQ/s+o6x7t3\n70Z1dTXGjRuHuXPnYvz48Vi6dCkAIDs7G/X19QCA8+fPIzo6GtHR0TAYDDhw4ACio6OxaNEiAMDm\nzZsRHByMOXPmYMyYMTAajfjTn/4EV1dXAEBsbCy8vb0xadIkTJ06FQEBAVi/fr01XyoRERH1IaIo\nYmVGBt4qKkKEiwv2DBoEFxbGduPXHh7YFhrados1l3kioo5Y9T4grVaLgwcPdrgvNTW17etRo0Yh\nMTHxmu14enpiy5Yt19zv5uaG7du333hQIiIiol9Yl52NPQUFCFUqsY9XjO3SWJUKm0NC8EJWFiYn\nJOCr4cMxjOtRE9EvWPXKMREREZG9efnSJbycmwudk1Ofn5W6r7vbywsbgoNhamnBPRcvIqWuTupI\nRGRDWBwTERERXcOe/Hyszc7GQEdHHAgPh7dCIXUkukn3ajR4PjAQpc3NmHjxIrIbGqSOREQ2gsUx\nERERUQfeLy7GiowMeCsUODBoEAY6OkodiXrIAwMGYIW/PwrMZtxz8SJKzGapIxGRDWBxTERERPRf\nvqysxGMpKXCTy7Fv0CDolEqpI1EPWzhwIJ4YOBCZjY24NzERtS0tUkciIomxOCYiIiL6hfiaGsxO\nSgIAvBoaijBnZ4kTUW950s8PMzQanK+pwYMGA5otFqkjEZGEWBwTERERXZHd0ICpCQmobW3FSyEh\nuNXdXepI1IsEQcDaoCCM8fDAyYoKLElLgyiKUsciIomwOCYiIiICUGo2Y3JCAoqbm/GMToeJXl5S\nRyIrcBAEbNXrEeXigncvX8aGnBypIxGRRFgcExERUb9X19qKexMTkd7QgMcHDsQ8Hx+pI5EVucjl\n2BUWBp2TE/546RIOFhRIHYmIJMDimIiIiPo1iyhigdGIH2tqMF2txjI/P6kjkQTUCgX2DhoEtYMD\nlqWn40R5udSRiMjKWBwTERFRv/Z8VhaOl5VhlLs71gUFQRAEqSORRAKcnLArLAyOMhnmGQxIqK2V\nOhIRWRGLYyIiIuq33iosxPa8PAQ5OWGbXg+FjH8a9XdRrq7YFByM2iu32hc1NUkdiYishO8ARERE\n1C99WVmJ36enw/PKeFMPBwepI5GNuMvLCzH+/shrasJ9SUmob22VOhIRWQGLYyIiIup3Uurq8EBy\nMgQA20NDoVMqpY5ENuYxrRYzNBr8u6YGjxqNsHCJJ6I+j8UxERER9StlZjOmJybC1NKC9UFBGMG1\njKkDgiDgD4GBuMXNDX8rK8O67GypIxFRL2NxTERERP2G2WLBnORkZDU24re+vpim0UgdiWyYQibD\nK6GhCHRywpbcXPzp8mWpIxFRL2JxTERERP3GiowMfFtVhYleXlji6yt1HLIDng4O2BkWBne5HL9L\nTcW56mqpIxFRL2FxTERERP3CwYICHCwsRLizMzZyySa6DkFKJbbo9WgRRcxOSkIhZ7Am6pNYHBMR\nEVGf963JhOUZGfB0cMBroaFwlsuljkR25jYPDzwVEIAisxlzkpLQyBmsifocFsdERETUp+U2NuL+\n5GQAwDa9Hr5OThInIns138cHU9VqnKupwe/T0yFyBmuiPoXFMREREfVZ9a2tmJWUhNLmZjyr02Ek\nZ6ammyAIAtYGBSHKxQXvXb6MvQUFUkcioh7E4piIiIj6JFEUsSglBfG1tZjt7Y37vb2ljkR9gFIm\nw/bQUGgcHPB0Rga+rKyUOhIR9RAWx0RERNQnvZaXh7+WlmKYqyue0+k4ARf1GK2jI14JDYUgCHgw\nORnZDQ1SRyKiHsDimIiIiPqcf1ZWYk1WFgYoFNgWGgqFjH/yUM8a5uaGNTodKlpa8EByMho4QReR\n3eM7BREREfUpeY2NeMhggEwQsFWvh7dCIXUk6qNmDxiAmRoNLtTWYhkn6CKyeyyOiYiIqM9osljw\nQHIySpub8XRAAIa5uUkdifq45wIDEenigncvX8ahoiKp4xDRTWBxTERERH3GivR0/FhTg2lqNeYO\nGCB1HOoHnGQybNProZLLsTw9HT9WV0sdiYhukFWL46KiIixduhSjR4/GhAkTsGnTJpjN5msef+TI\nEQwbNgx79+5tt91iseD111/HxIkTMWLECMyZMwdff/112/677roLQ4YMQXR0dNtj8eLFvfa6iIiI\nSHrvFhXhjaIihDs74w9BQZyAi6zGz8kJm/V6NIviT3cudPL3LRHZLqsWxzExMfDy8sLp06dx9OhR\nxMfHY8+ePdc89tSpU/Dx8blq33vvvYcPPvgA+/btw48//ohZs2Zh+fLluHz5ctsxL730EhITE9se\nhw4d6rXXRURERNK6UFOD36elwUMuxyuhoVByAi6ysts8PLDUzw95TU2YZzCgxWKROhIRXServXMk\nJibCYDBg9erV8PDwgL+/P5YsWYJjx47B0sEvj4iICLz33ntwd3e/ap9MJsOaNWsQEREBhUKBhQsX\nAgASEhJ6/XUQERGRbalsbsb9yckwiyJeCglBgJOT1JGon3pi4ECMV6lwxmTChpwcqeMQ0XWyWnGc\nnJwMX19fqNXqtm1DhgxBVVUVcnNzrzo+JiYGcrm8w7Yef/xxTJ8+ve15WVkZmpubodVq27adOHEC\nU6ZMwYgRI7B06VIUFxf34KshIiIiWyCKIh5PSUFOYyP+x9cXd6hUUkeifkwmCIgNDoa/oyO25Obi\nZHm51JGI6Do4WOtEJpMJHh4e7baprryBVVZWIjg4+IbabW1txdq1azFmzBgMGzYMABAZGQm9Xo9d\nu3ahoaEBa9aswfLly3Hs2LEu24uLi7uhHNZkDxmpPfaZ/WGf2Rf2l/3pqT47bDbj701NGCKTYZzJ\nBGNVVY+0S1czGo1SR7AbS2UyxAJ4ODERR11doZXoNn/+brQ/7DNpWa04BtDja781NDRg1apVKCsr\nw7vvvtu2ff/+/W1fu7u7Y926dZg2bRqysrKg1+s7bXPkyJE9mrGnxcXF2XxGao99Zn/YZ/aF/WV/\neqrPvjWZsP8//4G3QoEdkZHQcD3jXmM0GhEZGSl1DLsRCaC2pATb8vLwslyOfw4fDoWVC2T+brQ/\n7DPr6OwDCKv9lKrVaphMpnbbfn6u0Wiuu72qqiosXLgQzc3NOHz4cNtV6I74+/sDAEpKSq77PERE\nRGR7is1mPGQwAAC2hISwMCab88CAAbjHywvfV1djXXa21HGIqBusVhwPHToUxcXFKC0tbduWkJAA\njUYDnU53XW2ZzWYsWbIEQUFBeOONN+Dm5ta2r6CgABs3bmy3RFRmZiYAXPd5iIiIyPa0iiIeMRhQ\nZDZjmb8/RnQweSeR1ARBwNqgIOicnPBKXh5OcPwxkc2zWnEcFRWF4cOHY/v27aipqUFeXh4OHDiA\n+fPnQxAETJkyBefOnetWW++++y5aWlqwbds2ODi0vzNco9HgzJkz2Lp1K+rr61FcXIwtW7bgzjvv\nbLuCTERERPYrNicHZ0wmjFepsPAXk3ES2Ro3uRxb9Xo4CgIeNRqR29godSQi6oRVBz/s3r0b1dXV\nGDduHObOnYvx48dj6dKlAIDs7GzU19cDAM6fP4/o6GhER0fDYDDgwIEDiI6OxqJFiwAAH374IYxG\nI0aMGNF2XHR0NF5//XUolUq89dZbyM7Oxvjx4zFt2jTodDps377dmi+ViIiIesGXlZX446VL8HN0\nxIvBwRAEQepIRJ0a7OKCZ3Q6VLS0YJ7BgGauf0xks6w6IZdWq8XBgwc73Jeamtr29ahRo5CYmHjN\ndr744otOzzN48OB2E3QRERGR/Ssxm7HAaIRcEPCyXg8PB6v+GUN0w+Z4e+NCTQ0+r6zEC1lZeDUs\nTOpIRNQBaeaVJyIiIroOlivrGV82m/Gknx+GurpKHYmo2wRBwB+CghDo5ITX8vPx97IyqSMRUQdY\nHBMREZHN252fj5MVFbjdwwMLOM6Y7JCrXI5tej2cBAGPp6TgEscfE9kcFsdERERk0+JqarAmKwsa\nBwe8GBwMGccZk50a5OKC1YGBqGxpwYPJyTBz/DGRTWFxTERERDar5udJjEQRsVzPmPqAmRoNpqrV\n+LGmBs9nZUkdh4h+gcUxERER2axl6enIaGjAQq0Wt3l4SB2H6KYJgoAXAgMRrFRiZ34+jpeWSh2J\niK5gcUxEREQ26c+XL+PPxcWIcnHBk35+Usch6jEuV9Y/VspkeDwlBdkNDVJHIiKwOCYiIiIblF5f\njyfT0+Eqk+FlvR4KGf9kob4lzNkZz+l0qGptxSNGI9c/JrIBfKchIiIim2K2WPCwwYDa1la8EBSE\nACcnqSMR9YoZGg2mqNX4oboaL+bkSB2HqN9jcUxEREQ25YWsLMTV1rYVDkR9lSAIeD4wEP6OjtiS\nm4szlZVSRyLq11gcExERkc04WV6OHfn5CHJywmqdTuo4RL3OTS7HZr0eckHAAqMRZWaz1JGI+i0W\nx0RERGQTipqa8FhKChSCgJf1erjI5VJHIrKKoa6uWOrnhyKzGU+kpkIURakjEfVLLI6JiIhIchZR\nxKNGI0qbm7EiIACDXVykjkRkVY9qtfi1uzs+Ky/H3oICqeMQ9UssjomIiEhyr+Tm4guTCeNUKjw0\nYIDUcYisTiYI2BQSAi8HB6zOzMR/amqkjkTU77A4JiIiIkn9UFWFddnZGKBQYGNwMARBkDoSkSS8\nr/wMmEUR8wwG1LW2Sh2JqF9hcUxERESSqWppwcMGAywAXgoJgaeDg9SRiCQ1VqXCIz4+SG1owIr0\ndKnjEPUrLI6JiIhIEqIoYklqKnKamrBo4EDc6u4udSQimxDj74/Bzs54+/Jl/LWkROo4RP0Gi2Mi\nIiKSxDuXL+OvpaX4lasrFvv5SR2HyGY4ymR4Wa+Hs0yG36WmIruhQepIRP0Ci2MiIiKyOmNdHZan\np8NdLsfmkBA4cJwxUTtBSiXWBAaiurUVjxiNaLZYpI5E1OexOCYiIiKraroy2VCDxYJ1QUHwdXKS\nOhKRTZquVmOKWo0fqqsRm5MjdRyiPo/FMREREVnV7qYmJNTVYY63N+728pI6DpHNEgQBzwcGwt/R\nES/n5uJMZaXUkYj6NBbHREREZDX/W1aGY83N0CuVeFqnkzoOkc1zk8uxWa+HXBCwwGhEmdksdSSi\nPuu61ksoLCxEeno6KioqIIoi1Go1wsPD4cdJNIiIiKgL+Y2NWJSSAgWAl/V6KGX8jJ6oO4a6umKp\nnx/2FRTgidRU/H3oUK4HTtQLuiyOm5qa8P777+PIkSPIz8+HIAhQqVQQBAFVVVWwWCwICAjAggUL\nMG/ePDhx3BARERH9l1ZRxHyjERUtLXhcoUCYs7PUkYjsyqNaLX6srsZn5eXYV1CA5QEBUkci6nM6\nLY4vXryIVatWwd3dHY8//jhGjx6N0NDQtk+qRFFEVlYWfvjhB3z00Uc4fPgwdu7ciV/96ldWCU9E\nRET2YfOlS/imqgq/8fTEXU1NUschsjsyQcCmkBA8bDDg2cxMjPf0xDA3N6ljEfUpnRbHy5cvx4YN\nGzBx4sQO9wuCgNDQUISGhmL+/Pn44osv8NRTT+Grr77qjaxERERkh741mRCbkwOtQoF1QUEoTE+X\nOhKRXfJWKLAxOBgrMzIwz2DAv0eOhKtcLnUsoj6j08E+x48fv2Zh3JGJEyfi448/vulQRERE1DdU\nNDdjvtEIANis10PlcF3TnRDRfxmrUuERHx+k1NdjZUaG1HGI+pRO36HUajX27dvXrYZiYmLavuda\nioqKEBsbi/j4eCiVStx99914/vnn4ejo2OHxR44cwSuvvILf/va3WL58edt2URSxd+9e/P3vf4fJ\nZEJUVBTWr1+PQYMGAQCqq6sRGxuLc+fOwWKx4Pbbb8eLL74Id3f3br0WIiIiunmiKOJ/UlOR19SE\npX5+GM4s5r5kAAAgAElEQVRbQIl6RIy/P+JqavBWURHu8fLCgz4+Ukci6hO6nCZy3759+OCDD5CV\nlYWCgoJrProjJiYGXl5eOH36NI4ePYr4+Hjs2bPnmseeOnUKPh38sB89ehQff/wx9u/fj2+++Qa3\n3HILlixZgqYrY5jWrVsHk8mE48eP49NPP4XJZMKGDRu6lZGIiIh6xsHCQhwvK8Mtbm54YuBAqeMQ\n9RmOMhle1uvhLJPhd6mpyGlokDoSUZ/Q5b1NO3bswGeffYZvv/0WY8eOxcyZMzF+/HjIrnP5hcTE\nRBgMBhw6dAgeHh7w8PDAkiVLsGHDBjz99NNXtRcREYHf//73mDt37lVtvf/++3jssccwePBgAMCy\nZctw5MgRfPvttxg+fDhOnz6Njz76CN7e3gCAlStX4qGHHkJFRUWnV7aJiIioZyTW1mJVRgZUcjle\nCgmBnMvOEPWoIKUSz+l0iL10CY8Yjfh6+HAouDwa0U3p8ido2rRpeP311/HFF19g9OjROHToEMaP\nH4/NmzcjKSmp2ydKTk6Gr69vu+J0yJAhqKqqQm5u7lXHx8TEQN7BBAONjY3IyMhAVFRU2zaFQoHw\n8HAkJibCaDRCEARERES07Y+IiIAoijBeGfNEREREvae+tRUPGQxoEkVsCA6G9hrDp4jo5tyr0WCy\nlxfOVlcjNidH6jhEdq/bs2KoVCrMmzcP8+bNQ35+Pk6cOIG1a9eipaUFM2fOxO9+97tOv99kMsHD\nw+OqNgGgsrISwcHB3cpRVVUFURTbvveXbVVWVsJkMsHV1bVdYa1QKODq6orKysou24+Li+tWDinZ\nQ0Zqj31mf9hn9oX9ZVs2NzbC2NyMexwc4FNUBGNR0VXH8ANr+8M+s033iyIuCAJezs1FQGkpRv1i\n0jv+brQ/7DNp3dCUkQEBAZgwYQLq6urw2Wef4dSpU10Wx8BPE3P0lM7aupnzjBw58oa/1xri4uJs\nPiO1xz6zP+wz+8L+si0flpTgE4MB4c7OeDEiAk4d3OZpNBoRGRkpQTq6Uewz27a9rg6/TU3FptZW\nXBwxAgMcHfm70Q6xz6yjsw8grmtgQklJCd5++23MmDEDixcvRnNzMw4cONCt5ZvUajVMJlO7bT8/\n12g03c7g6ekJmUzWYVtqtRpqtRp1dXVobm5u29fc3Iy6urrrOg8RERFdn5yGBixOTYXyymRBHRXG\nRNTzhrq64vd+figym/FESkqPXpAi6k+6fNdqaGjA8ePHsWjRIkyePBkGgwHPPvssvv76a6xZs6Zt\nUqyuDB06FMXFxSgtLW3blpCQAI1GA51O1+3ATk5OGDRoEBITE9u2mc1mpKSkYPjw4YiMjIQgCDAY\nDG37k5KSIJfL241TJiIiop7TbLHgEaMRVa2tWK3TIViplDoSUb+yUKvFaHd3nKiowJ5uriRDRO11\nWRyPGTMGr776Knx9ffHaa69h3rx5cHFxQVxcHM6fP9/26EpUVBSGDx+O7du3o6amBnl5eThw4ADm\nz58PQRAwZcoUnDt3rluh58+fjz//+c9IS0tDfX09du7cCR8fH9xxxx1Qq9WYOnUqdu3ahfLycpSW\nlmLHjh247777rhqnTERERD3jxZwcnK2uxiQvL9zHO7WIrE4mCIgNCYGXgwOey8xESmur1JGI7E6X\nY469vLwAAGfPnsXZs2c7PEYQBHz55Zddnmz37t3YuHEjxo0bB6VSidmzZ2Pp0qUAgOzsbNTX1wMA\nzp8/j0WLFgH46ZbolJQUvPnmmxg1ahTeeecdPPTQQygrK8OiRYtQXV2NW265BW+88QYUCgUAIDY2\nFrGxsZg0aRIEQcA999yD9evXd+M/BxEREV2vM5WV2JKbC39HR/whKAgCl20ikoS3QoHY4GA8lZGB\nPzQ0YGZLC9wcbmiKIaJ+qcufljNnzvTYybRaLQ4ePNjhvtTU1LavR40a1e626Y4sW7YMy5Yt63Cf\nm5sbtm/ffuNBiYiIqFtKzWYsMBohFwRs1uvh1sEyjERkPWNUKizQavGX4mI8lZGBd36xvCkRdY4z\nZRAREdENEUURT6SkoMhsxlI/Pwx1dZU6EhEBWObnhxCZDO9evoz3i4uljkNkNzq9crxw4cIbujXq\n8OHDNxyIiIiI7MPu/HycqKjAaHd3PKrVSh2HiK5QyGR40tERG81mLElLw2gPD+idnaWORWTzOi2O\n58yZY60cREREZEcu1NTguawseDk4IDYkBDKOMyayKQNlMqwJDMTGnBw8bDDguxEjoODyakSd6rQ4\nnj17trVyEBERkZ2obWnBPIMBzaKI2OBgeF+ZEJOIbMt0jQbnqqvxj4oKrM/OxtbQUKkjEdm0bk9f\nl5mZiZMnTyI/Px8ymQyhoaGYOnUq/Pz8ejMfERER2ZiY9HSkNzRggVaLMVwmkcimrQkMRGJdHbbl\n5eFuLy/co1ZLHYnIZnXr3oo9e/ZgxowZOHPmDJqbm1FXV4djx45h0qRJeO+993o5IhEREdmKI8XF\n+FNxMaJcXLCMH5AT2TxXuRwvh4TAQRCw0GhEidksdSQim9XlleN//vOf+Mtf/oL33nsPv/71r9vt\n+9///V9s2rQJQUFB+M1vftNrIYmIiEh66fX1WJqWBheZDJtDQjh+kchORLq6IsbfH7vy8/FYSgpO\nREdzngCiDnT5rvbBBx9g9erVVxXGADBz5kw8//zzeOedd3olHBEREdmGJosFDxkMqG1txR+CgqBT\nKqWORETX4REfH4zx8MCpigrsys+XOg6RTeqyOE5ISMC4ceOuuX/69OlITk7u0VBERERkW1ZnZiK+\nthb3aTSYwjGLRHZHJgjYGBwMjYMDns/KQlxNjdSRiGxOl8VxXV0dBg4ceM39Li4uaG1t7dFQRERE\nZDuOl5Zib0EB9EolVut0UschohukUSgQGxKCZlHEPIMBNS0tUkcisildFscCxyMQERH1W5caG/FE\naiqcBAEv6/VwlsuljkREN+E2Dw88qtUio6EBy9LTpY5DZFO6nJCrubkZK1as6PSYFn7qRERE1Oc0\nWyx42GCAqaUFawMDEebsLHUkIuoBT/r7I66mBn8uLsY9Xl5Y2MldokT9SZdXju+77z64uLh0+rjv\nvvuskZWIiIisaENODs5WV2OSlxdmeXtLHYeIeoiDIGCzXg9XmQxPpqcjvb5e6khENqHTK8eiKGLr\n1q3X1aAoirwVm4iIyM59XlGBrbm5CHBywh+CgvjeTtTHBDg54YWgIKzLzsbDBgO+v+UWOHF5Nurn\nOv0JePjhh5GXl9ftxvLz8/HII4/cdCgiIiKSTlFTExYajXAQBGwJCYEbxxkT9UlT1GrM0GgQV1uL\n1ZmZUschklynxfGMGTMwe/ZsrFu3DklJSRBFscPjkpKSsH79esyePRszZszolaBERETU+1pFEQuM\nRpQ2N2OFvz8iXV2ljkREveg5nQ56pRJ7Cwrwt9JSqeMQSarT26rnz5+P0aNHY//+/XjwwQfh5uYG\nvV4PT09PAIDJZEJWVhbq6uowefJkvP/++wgLC7NKcCIiIup5L1+6hDMmE8arVJjn4yN1HCLqZc5y\nObbq9Xg0JQWLUlIw3M0NoZx8j/qpLmerDgsLw86dO1FeXo4ffvgB6enpMJlMAICIiAg8+uijuO22\n26BWq3s9LBEREfWeb0wmvJiTg4EKBTYGB3OcMVE/oXd2xvOBgXgxJwcPJifj+xEjoORwCuqHuiyO\nf6bRaDB9+vTezEJEREQSKTOb8YjBAAHAH/V6qBy6/ScCEfUB92o0uFBTg7+Xl+OZzEzsDw+XOhKR\n1XXrne+jjz7C6dOnIZfLMWPGDEydOrW3cxEREZGViKKIx1NSUGA240k/Pwx3c5M6EhFJ4LnAQCTX\n1eH1wkJM8PTEgxxaQf1Ml/O1/+Uvf8G2bdug0+mg1Wqxfv16/O1vf7NGNiIiIrKCnfn5OFFRgdHu\n7nh84ECp4xCRRJQyGbaFhsJZJsNvU1O5/jH1O11eOf7rX/+Kffv2YfTo0QCASZMmYdu2bbj//vt7\nPRwRERH1ru+rqrAmKwsaBwdsCgmBjOOMifq1YKUSfwgMxPqcHDxoMOAsxx9TP9LlleP8/HyMGjWq\n7fmoUaNw6dKlXg1FREREva/EbMaDycmwiCJe1uuhUSikjkRENmCqRoPZ3t74T20tVmZkSB2HyGq6\nLI4tFgtksv9/mIODAywWS6+GIiIiot7VKop42GBAodmMJ/39MdLdXepIRGRDntHpEO7sjDeKivB+\ncbHUcYisosvimIiIiPqejdnZbesZP6bVSh2HiGyMUibDFr0eLjIZfpeWhlSOP6Z+oMsxx83NzVix\nYkWX23bv3t2zyYiIiKhXnCgvx+bcXAQ4OiKW6xkT0TUEKZVYGxSEtdnZeDA5GT/ccgucOf6Y+rAu\ni+OZM2d2a1t3FBUVITY2FvHx8VAqlbj77rvx/PPPw9HR8apjT506hQMHDiA3Nxc6nQ4xMTGYNGkS\nAGDy5MkoLCxsd3xLSwuWLVuGmJgY3HXXXSguLm53O/htt92GQ4cO3VBuIiKiviKnoQELjUY4CgK2\nhobCnesZE1EnJqvVuFBTg7+VleGpjAwcGjxY6khEvabLd8QtW7b02MliYmIQHh6O06dPo6amBjEx\nMdizZw+effbZdselpKRg9erV2LlzJ8aNG4fvvvsOq1atwkcffYTw8HB8/vnn7Y4vKyvDvffei8mT\nJ7dte+mllzBnzpwey05ERGTvmiwWzDUYUNnSgnVBQYhwcZE6EhHZgad1OiTV1eGtoiJMUKmwgEu+\nUR91XWOOCwsL8fXXX+OTTz7Bxx9/jK+++uqqK7jXkpiYCIPBgNWrV8PDwwP+/v5YsmQJjh07dtUE\nX8eOHcMdd9yBiRMnwsnJCXfffTduv/12fPjhhx22vW3bNsyaNQuDBg26npdDRETUr6zMyMC/a2ow\nQ6PBTI1G6jhEZCecZDJs1evhKpNhSVoakuvqpI5E1Cu6vHLc1NSE999/H0eOHEF+fj4EQYBKpYIg\nCKiqqoLFYkFAQAAWLFiAefPmwcnJqcN2kpOT4evrC7Va3bZtyJAhqKqqQm5uLoKDg9sdO3bs2Hbf\nHxUVhbNnz17VbmJiIr755ht8+eWX7bafOHECb775JoqLizF69GjExsZCywlHiIion/rL5cs4WFiI\nQc7OWBMYyHHGRHRddEolNgYH47msLMxJSsL5kSPhwWEZ1Md0+n/0xYsXsWrVKri7u+Pxxx/H6NGj\nERoa2vaGKooisrKy8MMPP+Cjjz7C4cOHsXPnTvzqV7+6qi2TyQQPD49221QqFQCgsrKyXXF8rWMr\nKyuvanf//v1YuHAh3Nzc2rZFRkZCr9dj165daGhowJo1a7B8+XIcO3asi/8cQFxcXJfHSM0eMlJ7\n7DP7wz6zL+yvzmW2tmJxfT2cAfxOFJGdmip1JBiNRqkj0HVin9mfnu4zXwDTHBzwj4YGzPrhB7yi\nVPKDth7G9zNpdVocL1++HBs2bMDEiRM73C8IAkJDQxEaGor58+fjiy++wFNPPYWvvvqqw+NFUex2\nsO4cm5mZie+++w5bt25tt33//v1tX7u7u2PdunWYNm0asrKyoNfrO21z5MiR3c4ohbi4OJvPSO2x\nz+wP+8y+sL86V9PSgvlxcWgE8Ipej994eUkdCUajEZGRkVLHoOvAPrM/vdVnG0QRl9PS8M/aWvzT\nxwerAwN7/Bz9Fd/PrKOzDyA6HXN8/PjxaxbGHZk4cSI+/vjjDvep1WqYTKZ2235+rvmvcU9eXl4d\nHvvfx508eRKjRo2Cp6dnp7n8/f0BACUlJV2/CCIioj5CFEX8NjUVqQ0NWKDV4i4bKIyJyL45CAJe\n1uvhrVDg+awsfNXBnZ1E9qrTK8dqtRr79u3rVkMxMTFt39ORoUOHori4GKWlpRgwYAAAICEhARqN\nBjqd7qpjk5KS2m1LTEzEsGHD2m374osvMGvWrHbbCgoK8Oabb2Lt2rVtS0RlZmYCwFXnISIi6sv2\nFhTgWGkphru5IebKB8VERDfLW6HAVr0eS9PS8JDBgAu33gr/a8w7RGRPupytet++ffjggw+QlZWF\ngoKCaz66EhUVheHDh2P79u2oqalBXl4eDhw4gPnz50MQBEyZMgXnzp0DAMybNw/nzp3D6dOnYTab\ncfLkSfz73//GvHnz2tozm81IT09HQEBAu/NoNBqcOXMGW7duRX19PYqLi7FlyxbceeedbVeQiYiI\n+rqzVVV4JjMTagcHbAkJgQPHBRJRDxru5oYV/v4oaW7Gg8nJMP/X6jNE9qjLKeZ27NiBzz77DN9+\n+y3Gjh2LmTNnYvz48ZDJrmsVKADA7t27sXHjRowbNw5KpRKzZ8/G0qVLAQDZ2dmor68HAISFhWHn\nzp147bXXsGrVKgQHB2Pv3r0ICgpqa8tkMqGlpQXe3t7tzqFUKvHWW29h69atGD9+PERRxKRJk/DC\nCy9cd14iIiJ7dLmpCQ8kJ8MiinhZr8eAK3dSERH1pHk+Pkioq8Ppyko8nZGBfeHhUkciuildFsfT\npk3DtGnTUFVVhZMnT+LQoUNYt24dpk6dipkzZ2Lo0KHdPplWq8XBgwc73Jf6XzNnTpw4sdPxzj4+\nPld9z88GDx6Md999t9u5iIiI+gqzxYIHkpNRaDZjhb8/bnV3lzoSEfVRgiBgfVAQshoasL+wECPd\n3fGEr6/UsYhuWLcv/6pUKsybNw9HjhzBBx98AG9vb6xduxbTp0/Hm2++2ZsZiYiIqJtWZGTg++pq\nTPLywgKtVuo4RNTHucjleC0sDO5yOZampeHH6mqpIxHdsOu/NxpAQEAAJkyYgAkTJqChoQGnTp3q\n6VxERER0nd4qLMTBwkIMcnbG+qAgrj9KRFYR4OSEzSEhaBZFzElKQrHZLHUkohtyXcVxSUkJ3n77\nbcyYMQOLFy9Gc3MzDhw4cM3lm4iIiMg6fqiqwrL0dKjkcrwaGgpnuVzqSETUj4xRqbDM3x8FZjPm\ncoIuslNdjjluaGjA559/jr///e+Ij4/HXXfdhWeffRbjxo27oUm5iIiIqGddbmrC/cnJaBFFbNbr\nuaQKEUniMa0WKfX1+IITdJGd6rI4HjNmDFxdXTFhwgQsWLAA7lcm9oiLi2t33KhRo3onIREREV3T\nLyfgesrfH7d5eEgdiYj6KUEQsCEoCDmNjZygi+xSl8Wxl5cXAODs2bM4e/Zsh8cIgoAvv/yyZ5MR\nERFRp0RRxJNpafi+uhr3eHlhISfgIiKJuVwZ2vGo0YilaWmIcHHB7SqV1LGIuqXL4vjMmTPWyEFE\ndsRitqAxpxHmYjPMl81t/7ZUtEDuIYfCW/HTQ/PTv85hznAcwHVWiXranoICvH35MiJcXLAxOJgT\ncBGRTQhwcsLLej1WpKdjdlISzo8cCZ1SKXUsoi51Why/+uqrWLVqFeTdnNSjpaUFu3btwrPPPtsj\n4YjINlhaLKi9UIvKM5UwnTGh6rsqWBqub6INl0gXqMar4DnBE57jPeHkzzGRRDfj/yoq8HRGBjQO\nDng1NBRKzgNCRDbkNg8PrNLp8GpeHmYmJeHbESPgyokCycZ1Whzn5eVh5syZWLJkCaZNm3bNItli\nseAf//gH3njjDYSGhvZKUCKyLrFVRPmJchS9UwTTP01orW5t2+cc5gyXSJe2q8MOGgco1Ao4qBzQ\nWteKlqoWtJj+/6MhrQG1F2tRb6xH0RtFP7UxyBnaR7XwXeQLJz8WykTXI62+Hg8ZDJALAl4NDcVA\nR96ZQUS256EBA5DZ0IBPysrweEoK/hoVBRnvcCEb1mlxvHv3bnz44YfYsWMHNm3ahJEjR2Lw4MFQ\nqVQQBAEmkwlpaWmIi4uDq6srli1bhgceeMBa2YmoF5hLzSh6uwiFBwvRdKkJAOCkc4LX3V5wH+UO\n95HuUGgU192u2CKiPqUeNfE1qL1Qi5p/1yBnfQ5yXsyB933e8FvqB6+JXhBkfNMk6oypuRkzEhNh\namnBi8HBiHZzkzoSEVGHBEHAczodLjU24qPSUrx06RI2BgdLHYvomrocczx37lzMnj0bZ86cwfff\nf4/z58/DZDIBADw9PTFo0CD88Y9/xF133QUHhy6bIyIbVZtQi7xX81Dy1xKIZhEypQzes70xYO4A\nuIS73HT7goMA16GucB3qCiwEWutaUXGqAqV/K0XZJ2Uo+6QMSr0SASsD4LfEDzJH3iJK9N9aRRHz\nDAakNTRgoVaLezUaqSMREXVKIZNhm16Px1JS8GJODoa4uOABHx+pYxF1qFvV7KVLl5CXl4eQkBAs\nXrwYAQEBvZ2LiKykqagJ2euzcfmdy4AIOAU5wWeuDzT3aiB3672xQXJXOQbcPwDec7xRn1yP0o9L\nUfl/lch4KgMFewoQsiUEA+4fwAmGiH7hmYwMfF5ZiTs8PBDj7y91HCKibvFSKLAjLAyLUlLwaEoK\n9M7OuOXK8rBEtqTLSzP/+te/MGvWLBw/fhwffvghZsyYgfj4eGtkI6Je1NrQipw/5uDcoHO4/PZl\nKEOUCNsVhiEfDYHPPJ9eLYx/SRB+uqIcvCEYQz8digEPDUBjTiMMcw2IvyMeVf+qskoOIlu3v6AA\nuwsKoFcqsVmvh5wfHBGRHQlzdsZLISFotFgwIzER+Y2NUkciukqXxfHevXuxZs0afPrppzhx4gSe\nfvpp7NixwxrZiKgXiKKI4qPF+HHwj8hZnwOZowyBLwQi6mgUVGNVkl6pVXgpELg6EFF/jYLnbzxR\nfbYa8XfEI3luMpqKmiTLRSS1k+XleCo9HWoHB+wKC4MbZ3wlIjs0wdMTKwICUGg2497ERNS0tEgd\niaidLovjjIwMPPjgg23PH3jgAaSlpfVqKCLqHeYSM5JmJ8E43wjzZTO0j2kx9JOhP92+7GA7V6GU\nQUqEbg/F4LcGwzXaFaUfleL80PMoOVYidTQiq0uorcWDBgMUgoAdYWHwc+Ls7kRkv+b7+GCOtzcu\n1tXhYYMBLZbrWxqSqDd1WRybzWY4/mKJCGdnZzTyNggiu1P2aRnOR59H+f+Ww22kG4Z8NAQBywOs\ndvv0jXAb7obBbw+G7jkdLPUWGB4ywPCIAc0VzVJHI7KKoqYm3JuYiNrWVsSGhGCoq6vUkYiIboog\nCHguMBC3eXjgREUFnsnMlDoSURtOB0vUx7XUtiD1d6lIui8JLZUtCFgZgPAD4XDyt4+rT4JMgM+D\nPog8EgnXaFeUvF+C89HnUfF5hdTRiHpVXWsr7ktKQl5TE5b5+WGil5fUkYiIeoSDIGCrXo9QpRJ7\nCgqwLz9f6khEALoxW3VrayuOHj0KURQ73TZ//vzeSUhEN6z6fDUMDxvQmNkI53BnhGwKgXOYs9Sx\nbogySInBhwbj8uHLKHqzCAlTEuC/wh+h20MhU/BzPupbWkURC41G/LumBjM0Gjw+cKDUkYiIepSb\nXI5dYWF4PCUFKzIyEOLsjOlcno4k1mVx7OPjg7feeqvTbYIgsDgmsjGX/3QZqUtSIZpFaB/T9om1\ngwUHAb6LfKEaq0L2umwU7C5A7X9qMeTYEDj6OHbdAJEdEEURKzMy8ElZGW51d8cfAgO5pBkR9Um+\nTk54LSwMS9PS8GByMr4ePhy3enhIHYv6sS6L4zNnzlgjBxH1EEuLBVmrs5C/Kx9ydzlCXg2B6naV\n1LF6lEu4CyLejUDOizkw/dOEuFvjMPSToXAfyTUTyf5tz8vDvoIChCqV2K7XQyGz7w+1iIg6M9TV\nFX8MCcFzmZmYnpiIf91yC0Kd7fMuN7J/fMcl6kOay5uRMDkB+bvyodQrEXE4os8Vxj+Tu8qhf0UP\nvyf90JTfhAt3XMDlw5eljkV0U44WF2NNVha0CgX2DBoEd4cuP8MmIrJ7d3p64rnAQJQ0N2NKQgJK\nzWapI1E/xeKYqI+oTahF3Kg4mM6YoJqgQsS7EVDqlFLH6lWC8NNt1mE7wyBTyJDyWArSV6ZDbBW7\n/mYiG/NlZSUeT0mBm1yO3YMGQevIoQJE1H88MGAAnhg4EBkNDbg3MRF1ra1SR6J+iMUxUR9Q8X8V\nuDDmAhqzG+G72Beh20Mhd7XdJZp6mmqsChGHI6DUK1GwuwDJDySjtYFvqmQ/EmprMScpCQDwamgo\nwnhLIRH1Q0/6+WG6Wo0fa2owj2sgkwRYHBPZueIjxUicngixWYR+mx5+S/wgyPrf5D3KQCUi3omA\n+6/dUXa8DBfvucj1kMku5DY2YmpCAqpbW/FicDBudefYeSLqnwRBwLqgIIx2d8dn5eV4Mj293eo4\nRL2NxTGRHct7LQ/GBUbInGUYtH8QvO7u3+ugyt3kCNsdBq/JXqj+vhrxY+PRmNsodSyiayoxm3HP\nxYsoNJuxMiAAk9VqqSMREUlKIZPhldBQDHZ2xqGiImzIyZE6EvUjLI6J7JBoEZHxTAYyn82EwkeB\nwYcGw30ErzYBgEwhQ8hLIdAu0KLeWI8Lt19AbUKt1LGIrlLd0oKpCQlIa2jAo1otFmi1UkciIrIJ\nrlfmXghwcsIfL13Czv/X3p1HV1Hf/x9/zr252debQAhJIEBIIKCyFBEVpEIVXBCtApaq1WqhCiJu\nta2oaNVaKOCCINqftVZFbd0XlC7f2kWRPQkJ+5KEhJDtZk/uNr8/EiKRVYVMltfjnHvunc/Mnfue\nTJI7r1k+k59vdUnSRbRpOC4qKmLmzJmMHDmSCy64gIcffhj3MXqjW7VqFVdccQVDhw5l0qRJfPrp\npy3j7rvvPgYOHMgZZ5zR8hg6dGjL+KqqKu666y7OP/98zj33XO666y6qq6tP+/KJtAW/20/udbkU\nLCogOKXpVOKQVF2feDjDZpB0RxJJdyThLnSzcfRGXP9yWV2WSIsGn49JWVlsqKlhclwcsxMTrS5J\nRKRdiXM4WNq/P3EOB3fu2sUfi4qsLkm6gDYNx7NmzSImJobVq1fz6quvsnHjRp566qkjptu6dSv3\n3H3k+TAAACAASURBVHMPs2fP5osvvmDOnDncfffdbN++vWWaK664gqysrJbHxo0bW8bdf//9uFwu\n3nnnHd5//31cLhcPPPBAmyyjyOnka/CRfWU2B189SNiZYaS/kE5gD/VoeyzxP46nz6N98Nf5yZyY\nSfmn5VaXJILX72dqTg7/qqzkwuhoftmrF4bR9foJEBE5kcSgIJb270+U3c5Pt23jnZISq0uSTq7N\nwnFWVhY5OTncc889REZGkpiYyIwZM3jjjTfwf60nujfeeIPzzjuP8ePHExQUxLhx4xg1ahRvvvnm\nCT+ntLSU1atXc+eddxIXF0dsbCx33HEHn3zyCeXl2jCWjstX5yN7UjblH5UTeU4kac+mERCte6Ce\niPNiJ/0W9sP0mWRdnkXpB6VWlyRdmN80uXnbNt4rK+PsiAh+06cPdgVjEZFj6hcSwpP9+xNkszE1\nJ4d/VlRYXZJ0Ym0Wjrds2UJCQgLOwzobGTRoEJWVleTl5R0x7aBBg1q1ZWRkkJWV1TK8bds2pk6d\nyrBhw5g8eTIbNmwAIDc3F8MwGDBgQMu0AwYMwDRNcnNzT8eiiZx23hovWZdmUbG6gqjRUfT7fT9s\nweoy4GRFnR9F6uJUDJvBliu3UPJX7XmWtmeaJnft2sVLxcUMCg1lYb9+BNr0dywiciKDw8JY2K8f\nJjApO5u1VVVWlySdVJsddnK5XERGRrZqi4qKAqCiooKUlJQTTlvRvKcoOTmZxsZG7rrrLmJiYli+\nfDk333wzq1evxuVyERYWht3+1T1eHQ4HYWFhLe8/nvXr13/bRWwzHaFGae27rDOzxqTu9jr8mX7s\nI+y4b3Kzbfe2U1hdFxEJjrsdNC5sZMvULQTPD8YxwXHMyfV31rG09/VlmiZL3W7+6HaTaBjcZprs\nO+xSoa5IO6w7Hq2zjqczrbNI4OcOB0+73YzfsIHloaGkHba931m09++zzq5Nz8n8JvcpO960t912\nW6vhO+64g7fffpvVq1cTFhb2ne6HNnz48G/93rawfv36dl+jtPZd1pmnwkPmxZn4M/3EXBxDn/l9\nMAJ0Cua3NhBq+tWwc/ZOGuY10DuhNwk3JRwxmf7OOpaOsL4e3ruXP+7dS6+gIFakpxPnOPaOma4g\nNzeXgQMHWl2GfANaZx1PZ1xnAwFnWRnz9+7ldo+H/xs0iEFhYVaXdcp0hO+zzuB4OyDa7Hwup9OJ\ny9W6t9hDw7Gxsa3aY2Jijjrt16c7xG63k5CQwMGDB3E6ndTW1uLxeFrGezweamtrj/l+kfbIU+Fh\n8/jNVK+tJvayWPo8rGB8KoSfEU7a8jTsUXa23byNAy8dsLok6eSeyMvjwb17SQwMZFlaWpcPxiIi\n38VlsbH8qlcvSj0exm3axLa6OqtLkk6kzcLx4MGDKS4upuSwXuYyMzOJjY0lOTn5iGmzs7NbtWVl\nZXHWWWdhmiaPP/44W7dubRnndrvJy8sjOTmZgQMHYhgGOTk5LeOzs7Ox2+1kZGScpqUTObW8VV4y\nJ2ZSs6GGuMlx9H6gN4ZdwfhUCR0QStqzadgj7Gy9aSvFrxVbXZJ0Ukvy87lv9256OBwsS0sjPlC9\ny4uIfFdXduvGvcnJFHs8XLhpE7vq660uSTqJNgvHGRkZDBkyhAULFlBdXU1+fj7Lli1j+vTpGIbB\nhAkTWLNmDQDTpk1jzZo1rF69Grfbzccff8y6deuYNm0ahmFQUFDA/PnzKS4upra2loULF+JwOLjo\nootwOp1MnDiRJUuWUFZWRklJCYsWLWLSpEkt1ziLtGe+Wh9Zl2ZRvaYa56VOev2qF4ZNwfhUC00L\npf/S/thD7eRel6tOuuSUW7Z/P3N37SKuORj3DAqyuiQRkU5jSvfu3JGURKHbzYWbNrGvocHqkqQT\naNNuMp988kmqqqoYPXo011xzDWPGjGHmzJkA7Nmzh7rm0yJSU1NZvHgxixYtYtiwYSxdupSnn36a\n3r17A/Doo4+SkpLCVVddxbnnnktubi4vvfQSYc3XHMyfP5+4uDguuugiJk6cSFJSEvPmzWvLRRX5\nVnz1PrImZVH5n0pifhBDyrwUBePTKGxgGKlPp2ILspEzLYfS93SbJzk1VhQWcuuOHTgDAlielkZy\ncLDVJYmIdDo/jo/ntp49yWts5PsKyHIKtGmHXPHx8Sxfvvyo47Zta9377vjx4xk/fvxRp42Ojubx\nxx8/5ueEh4ezYMGCb1+oiAX8jX62/HALrn+4iLogij6P6BrjthB+Rjj9n+rPjlk72HLNFga/Oxi6\nWV2VdGRL9+9n1o4dxAQE8GxaGikKxiIip82NCQl4TJMVRUVcsHEj/xwyhD4hIVaXJR2UbrAo0g74\nPX5ypuVQ/nE5kedG0vfxvgrGbSh8SDj9FvcDA7InZ+P90mt1SdJBLcnPZ9aOHcQGBPBcWhqp2kAT\nETntftazJzN79mRfYyMXbNrETnXSJd+SwrGIxUyfSe51uZS+U0rEiAj6/a4ftkD9aba1yBGR9FvY\nD/xQP7ce12euE79J5DAL8/JarjF+Lj2dvgrGIiJt5uaEBGYlJpLfHJDVi7V8G9oCF7GQ6TfZetNW\nSl4vaTp6uagftmD9WVolalQUfX/XF7yQdWkWlZ9XWl2SdBCP79vHPbt3E+9wsEKnUouIWOInPXq0\ndNI1dtMmcmprrS5JOhhthYtYxDRNtt+6neI/FRM6KJTUJanYQ+xWl9XlRY+OJnBWIL56H5kTMqla\nV2V1SdKOmabJ/L17+dWePfQIDOS59HR6KRiLiFjmx/Hx3J2czIHmgJxZU2N1SdKBKByLWMA0TXbO\n3UnRc0WEpIXQ/+n+2MMVjNuLgO8F0OeRPvhqfGRelEn1pmqrS5J2yG+azN25k4f27iUxMJAVaWkk\n6XZNIiKWm9a9O/f16kWJx8MFmzbxeaXOBJOTo3As0sZM02T3L3ez/8n9BPcNJu3ZNAIi27TjeDkJ\nzoucpDyQgtflJfMHmdRka8+zfMXr93PT1q08uX8//YKDeSE9XfcxFhFpR67u1o2HUlKo9noZv3kz\nn5aXW12SdAAKxyJtbN/D+8h/Ip+g3kFNwThawbi9ir0slt6/7o2n1MPm8Zup267OPQQafD6u3rKF\nl4qLGRQaynPp6XQLDLS6LBER+ZrLYmP5Xb9+eE2Ty7KyePPgQatLknZO4VikDeU9kcfeh/YSmBhI\n2rNpOOIcVpckJxA3OY7ke5PxFHvYPG4z9XvqrS5JLFTt9XJJVhbvlpVxdkQEy9LSiA7QDi4Rkfbq\nguhonurfn0DDYGpODs8XFlpdkrRjCscibaTgyQJ237cbR7yDtGVpBMbrSFNH0X1KdxLnJNJY0Mjm\ncZtpKGiwuiSxQInbzbjNm/mny8X3o6NZkppKqF19BYiItHffi4hgeVoaUQEB/Gz7dn67bx+maVpd\nlrRDCscibaBwRSE779iJI64pGAf11LWJHU2P63qQMCOBhj0NbB63GXex2+qSpA3tqKtj1IYNrK2u\n5vLYWB7v25dAm75CRUQ6ioFhYbyQnk4Ph4Nf7tnD7B078Ckgy9fom13kNPN84GH7zO0ExATQf1l/\ngnvpNi8dVcLNCcTfEE/99no2j9+Mu1QBuSv4orKSczduZFdDAzcnJPBA794EGIbVZYmIyDeUEhzM\nHwYMIDUkhKWFhVyVnU2dz2d1WdKOKByLnEYHXz9Iw8MN2CPs9F/an5A+IVaXJN+BYRgkzkqk+7Tu\n1GbXknlxJh6Xx+qy5DR6u6SE72/eTIXHw/29ezOzZ08MBWMRkQ4rPjCQF9LTOTsigvfKyvj+pk0c\ndGtntzRROBY5TUreLiFneg4EQf9n+hOaFmp1SXIKGIZB0l1JxF0ZR82GGrImZuGt9lpdlpwGTxcU\n8MMtWzCARampTI6Ls7okERE5BcLtdp5MTeVSp5Mvq6sZtWED2+t0RwpROBY5Lco+KiNnag62QBtB\ndwcRlhFmdUlyChmGQa/7euGc6KTqiyqyJ2Xjq9NpWZ2F1+9n7s6d3L5zJ86AAFakpXFeVJTVZYmI\nyCnksNl4KCWFWxIS2N3QwLkbNvAfl8vqssRiCscip1jF3yvIviobw26QuiQVe5p6s+2MDLtByoMp\nRF8Yjev/XGRflY2/0W91WfIdVXq9XJ6dzZKCAvoEB/PigAEMDNPOLRGRzsgwDGb07Mm83r1xeb1c\nuHkzfygqsrossZDCscgp5Pq3i6xJWeCHfgv7ETE8wuqS5DQyAgz6PNqHqPOjqPikgi1Tt+D3KCB3\nVDvq6jhnwwZWlZdzXmQkLw4YQM8g9SwvItLZXREXx9K0NEJtNm7eto25O3fi9ev7vCtSOBY5RarW\nVJF1SRam26TvE32JPCfS6pKkDdgcNvo+0ZeIsyMoe7eM3OtyMX26NURH87fyckZu2MDWujqui49n\nUWoq4bqHsYhIl/G9iAheGjiQvsHBLCko4LKsLFwedbrZ1Sgci5wC1RuryZyQia/eR59H+xA9Jtrq\nkqQN2YJs9Pt9P8KHhFPyeglbb9qqgNxBmKbJ0v37mZCZSbXPx4O9ezMnKQm7eqQWEelykoKC+H8D\nBjA6KopPKio4Rx11dTkKxyLfUfXGajaP34y30kuf+X2IGRdjdUliAXuIndQlqYQOCqX4T8Vsu3mb\nAnI7V+fz8ZOtW5m1YweRAQEsT0vjcvVILSLSpYXb7Szs14/r4+PZVl/PiPXrebe01OqypI0oHIt8\nBy3BuMJLyoMpOCc4rS5JLGQPtzfdtmtQKAf+eEABuR3bVV/PqA0b+FNxMRmhobw8cCBDwsOtLktE\nRNoBu2Fwe1ISj6Sk4DZNJmdn88vdu3UdchegcCzyLVVvrGbzuK+CcexlsVaXJO1AQERAU0DOUEBu\nr94vLWX4unVk1tbyw7g4XkhPp0dgoNVliYhIOzMxNpYX09NJDgrit3l5XJSZSbHbbXVZchopHIt8\nCy3B2KVgLEcKiAig/9LDAvIt2zD9CshW85km9+/ezaTsbBr8fh5KSeGXvXsTaNNXoYiIHF3/5rOL\nxkZH80+Xi2Hr1vG/ykqry5LTRFsEIt+QgrGcjFYB+cUDbPupjiBbqaChgXGbNvFoXh6JgYG8OGAA\nl8Xqb1dERE4s3G5nQd++zE5M5IDbzQWbNrEgLw+/qe/1zkbhWOQbqFpb9VUwfkjBWI7v60eQc6/P\nxe/V9Upt7d3SUs5at45/VVby/ehoXh44kLTQUKvLEhGRDsQwDG7o0YNn09KIttu5d/duJmRmcqCx\n0erS5BRSOBY5Sa7PXE3BuLI5GF+qYCwndiggh50ZxsFXD5IzJQd/owJyW2jw+Zi9YweTs7Op9fm4\nr1cvfte3L5EBAVaXJiIiHdT3IiJ4LSOD8yIjWV1RwZnr1vFRWZnVZckponAschLKPyknc0Im/no/\nfR/vq2As38ihTroivhdB6dulZE/Oxlfvs7qsTi2ntpazN2zgmf376RcczEsDB3J1t24Yun+xiIh8\nRzEOB0tSU7krKQmX18ulWVnM3bmTRvVm3eG1aTguKipi5syZjBw5kgsuuICHH34Y9zF6fFu1ahVX\nXHEFQ4cOZdKkSXz66act4/x+P88++yzjx49n6NChXHXVVfzrX/9qGX/hhRcyaNAgzjjjjJbHLbfc\nctqXTzqnkndKyJqUhek36ff7frqPsXwr9tCm+yBHnhdJ+apysi7JwlvttbqsTsdvmizOz2f4+vVk\nNfdG/dLAgaSGhFhdmoiIdCKGYXBtfDx/HDCAlOBglhQUcPb69WyuqbG6NPkO2jQcz5o1i5iYGFav\nXs2rr77Kxo0beeqpp46YbuvWrdxzzz3Mnj2bL774gjlz5nD33Xezfft2AP74xz+ycuVKnnnmGb78\n8ksmT57M7NmzOXDgQMs8HnnkEbKysloezz//fJstp3Qexa8Us+XqLRgBBv2f7E/UeVFWlyQdmC3Y\nRr+F/Yi+MBrX/7nIvCgTj8tjdVmdxu76er6/aRN37tpFsM3Ggr59+WXv3gSrN2oRETlN0kNDeXnA\nAK6MiyOztpYR69fzm717dU/kDqrNthiysrLIycnhnnvuITIyksTERGbMmMEbb7yB/2u/PG+88Qbn\nnXce48ePJygoiHHjxjFq1CjefPPNpqJtNn7xi18wYMAAHA4H1113HQCZmZlttTjSBexftp/c63Kx\nh9pJezaNiO9FWF2SdAI2h42+j/XFOdFJ1RdVbBqzicZCdebxXZimyfL9+zlz7Vo+a+50642MDL4f\no7M8RETk9Aux2/l17948lZpKTEAA8/buZdTGjeTU1lpdmnxDbRaOt2zZQkJCAk6ns6Vt0KBBVFZW\nkpeXd8S0gwYNatWWkZFBVlYWAD/5yU+49NJLW8aVlpbi8XiIj49vafvwww+ZMGECQ4cOZebMmRQX\nF5+OxZJOyDRNdt+/mx237iAgJoC059IIGxxmdVnSiRgBBinzU+h2TTdqs2rZMGoDtVv1Bfpt7Gto\nYHZ9PT/fsQObYfBISgq/69sXp8NhdWkiItLFnBsVxcqMDC5xOllXXc2wdetYkJeHT7d86jDarMtO\nl8tFZGRkq7aoqKZTVCsqKkhJSTnhtBUVFUfM1+fz8etf/5pzzz2Xs846C4CBAwfSt29flixZQn19\nPb/4xS+YPXs2b7zxxgnrXL9+/TddtDbXEWrsqEyvScOjDXjf92J0Nwi4N4B9vn2Q+93mm5v7HWcg\nba4t1pl5uYkDB41vNrJ25FpCl4RiP9N+2j+3M/CaJq97PCxvbKQeONNm46cOB86DB9l68KDV5clJ\n0P/FjkfrrOPROrPGtUBaYCD/z+3m3t27eXHvXn4dHMwA+4m/47Wdb602vZ+F+Q32mpzMtPX19cyd\nO5fS0lJefPHFlvalS5e2vI6IiOD+++/nkksuYffu3fTt2/e48xw+fPhJ12iF9evXt/saOypvjZec\na3KoWVVDaEYoqUtScTi/+9Gn3NxcBg4ceAoqlLbSpussA0oHlrLv0X003NZAxusZxF0e1zaf3UFt\nqK7m1m3b2NDYSLTdzvV2OzcPHqyeqDsQ/V/seLTOOh6tM2sNBC7zelmcn8+H5eVcX1fHnKQkHk5J\nIfwYtxTUdn7bON4OiDY7rdrpdOJyuVq1HRqOjW19W5yYmJijTnv4dJWVlVx33XV4PB7+9Kc/tRyF\nPprExEQADupoghyD+6Cbzd/fTPmqciLPjSRtedopCcYiJyNuUhypv08FE7InZ1P4QqHVJbVLNV4v\nd+3cyYj169lQU8OlTid/GTyY8wMCFIxFRKTdiQ4IYH6fPjzbvz+JQUEsLihg0Nq1fFBaanVpcgxt\nFo4HDx5McXExJSUlLW2ZmZnExsaSnJx8xLTZ2dmt2rKyslpOm3a73cyYMYPevXvz3HPPER4e3jLd\n/v37efDBB1vdImrXrl0AR3yOCEBtbtM1n9XrqomdFEvqolTsoTq1VdpW1PlRpC1Pwx5pZ/st29l1\n7y5Mn65RgqYziV4/eJCMtWtZVFBAYlAQz/bvz/w+fYg+xt53ERGR9uLsyEhey8jgph49KHS7uTw7\nm6uys9lTX291afI1bRaOMzIyGDJkCAsWLKC6upr8/HyWLVvG9OnTMQyDCRMmsGbNGgCmTZvGmjVr\nWL16NW63m48//ph169Yxbdo0AF588UW8Xi9PPPEEAV/bMIqNjeUf//gHv/3tb6mrq6O4uJjHH3+c\nsWPHthxBFjmk7KMyNpyzgYbdDSTcnEDveb0xAnQESqwRNjiMAf9vAEG9g8hfkE/2ldld/l7Im2tq\nGLtpE9NycjjgdnNTjx68lpHB2V/rl0JERKQ9C7bZuDUxkVcGDmRIeDhvl5Yy8MsvuX/3bmq8Xfu7\nvj1p05s/Pvnkk1RVVTF69GiuueYaxowZw8yZMwHYs2cPdXV1AKSmprJ48WIWLVrEsGHDWLp0KU8/\n/TS9e/cG4M033yQ3N5ehQ4dyxhlntDyeffZZgoODeeGFF9izZw9jxozhkksuITk5mQULFrTloko7\nZ5om+b/PJ+uyLPyNfvr8pg89Z/bUqZliueBewQx4cQARZ0dQ9n4ZG8/dSP3errdnuczj4dbt2xm2\nbh2fVVZyQVQUbw4axK2JibpvsYiIdFj9QkJ4Pi2N3/TpQ1RAAI/m5THgyy95pbj4G/XPJKdHm56P\nFh8fz/Lly486btu2ba2Gx48fz/jx44867d/+9rfjfk56enqrDrpEDudv9LN95nYO/PEAjjgH/X7f\nj7BBulWTtB8BkQH0f6o/+YvyKXmjhA1nb2DQW4OIPj/a6tJOuwafj2cLC/nNvn1UeL2kBAdzd3Iy\n5+hIsYiIdBKGYTDB6eSCqCj+eOAALxcX8+PcXM602VhWWcm5x+lLSU4v7X6XLqXxQCObLtzEgT8e\nIDQjlAEvD1AwlnbJCDDodW8vet3XC0+5h80XbqZwRWGn3avsM03+dOAA6V9+yV27duE1TeYmJbEy\nI0PBWEREOqUQu52fJyby5qBBfD86mky/n/M2bmRyVhY5tbVWl9clKRxLl1HxzwrWD11P1f+qiLk4\nhvQV6QR2C7S6LJHj6nZ1N/o/0x9bqI3tM7az9Yat+Gp9Vpd1ypimyUdlZQxdt44btm7lgNvNdfHx\nvDN4MNPj4wnQpQ4iItLJJQYFsaBfP+YFBXFWWBjvlpVxxtq1/HTrVvIbGqwur0tROJZOz/Sb7H1k\nL5vHb8ZT6iHpjiT6/KYPtmD9+kvHEDkikoxXMggbHEbxy8WsP3s9tTkde4+yaZr8vaKCMZs2cWlW\nFtm1tVweG8tbgwczJymJKPVCLSIiXUya3c4L6en8vl8/UoKD+X8HDtB/zRru3LmTA42NVpfXJWjr\nQzo190E3uT/OpWJ1BY4eDvo+1pfwM8NP/EaRdiawRyBpz6ex/8n9HFx5kPUj1pO+Ip346fFWl/aN\nmKbJ3yoqmL93L/+tqgJgdFQUtyUmkhoSYnF1IiIi1jIMgwuiozk/KooPy8pYUVjI4oIClhUW8rOE\nBH7Rqxc9g4KsLrPTUjiWTsv1mYuca3NwF7qJOj+KlIdSCIjWr7x0XDaHjeS7kwkfEs7eR/aS++Nc\nXP9ykbo4FXtY+743t2mafNocij9vDsVjoqK4JSGBgWG67l9ERORwdsNgUlwcE5xO3i8r48UDB3hq\n/36eKyzklp49+UVyMknBwVaX2ekoKUin42vwsfeBveQvzAcbJM5OJP66eAybrl2UziFmfAwhaSHs\nvm83Rc8X4fqniwEvDSDq3PbXu6XH7+eNkhIW5uezqaYGgAuiorilZ08GhIZaXJ2IiEj7Fmiz8cNu\n3ZgUG8sHzSH5meaQPD0+nruSkhgcrrMiTxWFY+lUqtdXk3t9LnU5dQQlBZEyP4Xws/QPQzqfQ/dD\nLlxeSPGfi9k4eiO97u1FykMp2IKsv56+2uvl+aIilhQUkN/YiA34QUwMN/TooVAsIiLyDTlsNq7s\n1o3L4+L4sKyMPx04wB+bHxOcTu5JTub70dEY6sjyO1E4lk7B7/Gz79F95D2ah+k16XZNNxJvT8Qe\n0r5PNRX5LmxBNpLmJBE1Joq9D+0l77d5lH1UxsA/DbRsp9Cu+nqW7d/PC0VFVPp8BNtsTO3WjR/F\nx5Ooa6RERES+kwDD4Iq4OC6PjeU/lZX8ubiYVeXlrCovZ1h4OLcnJTG1WzeC7doG/jYUjqXDq95Y\nzbabt1GzoQZHDwcpD6QQebbuiypdR8TQCDJezaBgSQGlb5eyfsR6et3Xi16/7NUmO4h8psmq8nKW\n7t/PqvJyTCA2IICf9+zJ1d26qedpERGRU8xmGIyJjmZMdDTZtbX8ubiYf1RU8JOtW7lr505uSkhg\nZs+e9FVnl9+Itlikw/K4POydt5f9z+4HP8ROiiX5zmTs4dpTJl2PPcxO71/3JnpsNPse3ce+R/ZR\n/Eox/Z/pT+zE2NPymQcaG3mpuJjnCgvZ03wfxjPDwpjSvTsXRkcTaLP+9G4REZHObnBYGL/t25fC\nxkbeLi3lndJSFuTnszA/n4lOJzN79mSi00mAvpdPSOFYOhzTNCl+uZhd9+zCc9BDUO8get3bi8iR\nOlosEnVeFIPeHETR80UUv1ZM1iVZxP0wjtTFqQQnf/deLd1+Px82dwjyUVkZPiDYZuPKuDiu7taN\ndF1PLCIiYomeQUHclpjILQkJ/L2igjdLSviovJyPysvpERjIdfHx3Nijh+4ScRwKx9Kh1GyuYces\nHVT+pxJbsI3EWYl0n94dm0N7wkQOsYfZSbojidjLYtn3+D5K/1pK+apyUualfKtr8U3TZFNNDX8u\nLubl4mJKPB4ABoaGMik2loudTiJ16rSIiEi7EGizMTE2lomxsWyrq+Pd0lJWlZezID+fBfn5jIyI\n4MaEBK7p1g2nw2F1ue2KtmakQ6jfXc/eB/dS/EoxmBB9YTTJdyYT2CPQ6tJE2q2Q1BDSn0+n7IMy\nCp4qYPd9u9n/zH5S5qcQf308toDj71TaVlfHa8XFrDx4kG319QBEBwRwbffuTIqNpb+OEouIiLRr\n6aGh3NurF3OSkvjM5eL9sjK+qKpiTXU1s3fs4GKnk2nN3+sR2tGtcCztW+OBRvb9Zh9FK4owPSYh\naSEk3Z5E5Dk6hVrkZBg2g7hJcUSPjebASwc4uPIg2366jfyF+fR5rA9xV8S1uu3D9ro63i4tZeXB\ngy33JQ4yDMbHxHBxTAznR0Xh0DVLIiIiHUqQzcYPnE5+4HRy0O3m4/JyPi0v54OyMj4oKyPYZuOy\n2FimdOvGBKezywblrrnU0u65S90ULC6gYEkB/jo/QUlB9Px5T2J+EINh0/3bRL6pgMgAkmYn0X1K\nd4qeL6L0vVK2XLmFiFERVDzQnX+keXintJTcurqm6Q2D86OiuDgmhjHR0YTplhAiIiKdQvfAQG7o\n0YMbevRgb0MDn5aX80l5OX8pKeEvJSUENu8UvzIujsvj4ogP7DpnaiocS7tSv6eegkUFFP2hwneG\nHwAAGzZJREFUCH+9n4C4AJJuTyJuchxGgEKxyHcVGB+I89dJrL8xhPd3FPNZcjUlwdWQB0F+gwui\noxgbE83o6Giiu+heYxERka4iJTiYn/XsyS0JCWyvr+f/XC7+6XK1dORlbN/OqMhILomNZYLTydDw\ncGxG590m15aPtAvV66vJW5BHyZsl4IfAHoF0/3l3ul3VDVuwTuEU+S78pskWfz1/91ax2lfJ574a\nvJHAcIjw2/hBlp3Rb3r43lqT0O71BM6KxHGdoW8IERGRLsIwDNJDQ0kPDWVGz54UNDbyfy4X/3K5\n+KKqiv9VVXH/nj10dzi42OlkotPJ+JgYunWyo8ra9BHL+Op9lPy1hKLni6j8rBKAkLQQelzfg5jx\nMTpSLPItmabJDn8j//JV8Zmvmn97qynH1zI+3RbMSFsYI+3hDLQFYx9pYCa5MV8px/ygksZ782n8\nTSGOaU4cN3XDnhFi4dKIiIhIW0sKCuLH8fH8OD4el9fLmqoqPq+q4vPKSl5uvnsFNN1j+cLoaL4f\nHc0F0dHEdPDerxWOpc3VZNY03YP1z8V4XV4AIkZG0OO6HkSMjGjVOZCInJjHNMn01/GFr4Y1vho+\n99VQbHpbxnc3Aphgi2SYPYyz7WHEGEf+6zcSAzHu7YF5cxzmmxXwrgvPihI8K0qwnR1G4I3dCLgy\nBiNUZ3KIiIh0JdEBAVzsdHKx04nfNNleX8/nlZWsra5mc00N2bW1PLV/PwYwNjqaj844g+AO2leJ\nwrG0iYb8Bkr+UsLB1w5SvbYagIC4AHrc2IO4K+IISgqyuEKRjsE0TfabHjb4atngr2Otr4b1vjrq\n8LdME2sEMM4eyTB7KENtofQ0HCe908lwBmDM6Ib50zj4Tw3mOy78X9TS8GUt3JtHwOUxOK6KwT42\nAiNQQVlERKQrsRkGA0JDGRAayo0JCbj9frJra1lXXc266moqvF68pml1md+awrGcNocCcckbJVR9\nUdXUaIPI8yLpdmU3os6P0qnTIsfhM012m43k+OrZ4q9no6+ODf5aSg47KmwAfYwgBttDOMPW9Ojx\nDcLwsRgBBoyNwBgbgVnoxnyvEj6sxPtqGd5XyyDajmNSNAFXObGPidDfsoiISBcUaLMxLCKCYRER\n/AxIDQkhvAN36NlxK5d2x+/xU/V5FeWflFO+qpyaDU33SMUGESMiiBkfQ/T3o3E4O/a1CCKnmmma\nHDA95PgbyPHXs8VXT66/nq3+euppvfe1uxHAGHs4A2whDLAFk24LJtw4vacuGT0DMWZ2w/xZHGTX\nY66uhn9U4/lTGZ4/lUGknYALIwj4QRT28ZHYEjpX5xwiIiLSNSgcy7dm+k1qc2qp/HclFasrqPhb\nBb7qpk5/jACjKRCPiyH6QgViEYB6089efyN7zEZ2+5seW5vDcMVhHWYBBGLQywikry2IPrYg+tqC\nSLMF4zzK9cJtxbAZcGYoxpmhmHO7w+Z6zL9VwX9r8b7jwvuOCwDb4BDs4yIJODcc+znhGDH6qhER\nEZH2T1ssctK81V5qNtRQ+d9KKv9TSdXnVS0dagEEJgbinOAkclQkEd+LwB7aMS/EF/m2TNOkHB/7\n/I3saQ6/e5rD8B5/I4Wm54j3GEBPw8FgWwh9jKYQ3NcWRKIRSEA77pzOsBkwNBRjaCjm3SbkueF/\ntZhf1OLfUIc/ux7Pk009WdoygrGPagrK9uFhGH2Dmt4vIiIi0o4oHMsRTNPEXeSmJrOGmo3Nj001\n1O+s5/AzPIOSgog8L5Lws8KJ+F4Ewb2CrSta5DTzmSbFpodC00Oh3930bLrZ7/dQdNhzA0d2QmHQ\ndDr0UFsoiYaDRFsgPQ0HPW2BJBuBhBgdu2MrwzCgdxD0DsK41onZ4IfMeszNdbC5Hn9WPf6cBjx/\nKG16Q4QN++BQbGeGYB8Sim1wKLb+weoJW0RERCylcNxFmaaJp8RDw74GGvY0ULetrumxtY767fUt\np0cfYo+wEzE8gpD0EMLPDCf8rHAccTpVWjouv2niwkeZ6aXU76XU9FBieik1vWyPcuOv301p83Cp\n6aXE9HztxOevGEAMdnrbgogzAuhhOOhpOEhqDsE9DAeBHTwAfxNGsA3ODsM4OwwA02vC9oam07C3\nNsC2BnxravB9XsPhx9KNXoHY+gdjSwtueu4ThK1XIEZyYNM8RURERE6jNg3HRUVFzJ8/n40bNxIc\nHMy4ceO47777CAw8svOWVatWsWzZMvLy8khOTmbWrFlcdNFFQFOwe/rpp3nvvfdwuVxkZGQwb948\n+vfvD0BVVRXz589nzZo1+P1+Ro0axUMPPURERERbLq4lTNPEV+vDW+7FXeSmsagRd5G75dGQ30Dj\nvkYa9jXgr/cf8X7DYRDUK4iIERGE9AshND2UkPQQAnsE6v7D0i6YpkkdfupMPzUtzz7qzKbX1fhw\nmT4qTR+VppfKrw+bPipMH1X4jnKMt1kE4K0AIAwb0YadgbYQuhsBxBkBdDMcxBkBzcMOYo0AHPr7\nOCYjwICMEMgI4dBPyWzww45G2NaAubsR9rox97nx/b0K39+rjpxHD0dTeE4KbHrdw4Gt+Tmg1o8/\n1oMRbdftpURERORba9NwPGvWLNLS0li9ejXV1dXMmjWLp556irvvvrvVdFu3buWee+5h8eLFjB49\nmv/85z/MnTuXv/zlL6SlpfHqq6/y1ltv8dxzz5GcnMyKFSuYMWMGH3/8MUFBQdx///3U1tbyzjvv\nYBgG9957Lw888ACLFy9uy8U9pUzTpPyjctz/cLPn3T14K7x4Kjx4y71fva5oem16jn9vMXuknaBe\nQQQlBBGYEEhgz0CCewUT3DuYwIRADLs28uVIpmniB7yYzQ/wmuZhwyYeTNymSQN+3KZJI34aMHGb\nfhppGm40zabXR7T5cWNSZ/qpbQ67NaafOvzUmj5qm4NwLUfu1DlZIdgIN2w4jQB6G4FEGHaisRNt\nBBBt2Ik27MQYAdQWFpORmEy0Ye9SR3zbkhFsgzNC4IyvAjOAWeODfe6mR5EHs8jT8myur8X/Ze0R\n8+oB1JLZNBBuawrJMQHNDztGdNMzMQEYUfam07fDbBghNgizNz2H2jBCD7XZIMjQDkEREZEups3C\ncVZWFjk5OTz//PNERkYSGRnJjBkzeOCBB7jzzjux2b7aAH3jjTc477zzGD9+PADjxo1j1KhRvPnm\nm/z617/mtdde44YbbiA9PR2A2267jVdeeYV///vfDBkyhNWrV/OXv/yFuLg4AO644w6mTp1KeXk5\nTqezrRb5lGrIa+DJ32dR7gTY99WIUCAcbP1tGMEGtmAHtmADW7AdW5gNe5gde5gdW6gNW3jz66Cm\nn7XZctzMBOoxqQcfHDp39Ov37/565D5y2Dzm+BO/9+TndTrm93Xfub7DGsqi3DgbCo6Y3k9T2Pzq\nuWm+ZvNrPyZ+s/V4f/P4I95vfvX+w+d1tPkfmtZ3eKhtDrk+aNX21TTgOeFP7dSzA6HYCDZshGAj\nxrATYtgIPqwtxDAIaTVsIwIb4Yad8ObnCMNOGLaT7uBqj9dGd5suG7CCEW6HQSFND2gdnH0mlHuh\n1AelHijxYpZ5qd7jIsIMhWofVPkwq3xNR6Nr679DIUCIDQIMjEADHM2PAAPDYUBg02sczcOOr71u\nHofdwLA1z89mgA0wjObhw9u+em0cmubw9sOnN772g/n6D6ql7SiNJ/G+I952MvM+mT+tw6YJL/bg\nji8+Sj3aIdFeNa2zg1aXId+A1lnH0xnWmatPGFHX9LC6jG+tzcLxli1bSEhIaBVOBw0aRGVlJXl5\neaSkpLSa9vzzz2/1/oyMDD7//HMaGhrYuXMnGRkZLeMcDgdpaWlkZWURFBSEYRgMGDCgZfyAAQMw\nTZPc3FzOO++849a5fv3677ikp8cBv59HHjjeFIeOph3rqsjDNJ6CguTkRQCeYqurwDC/2r42aAqe\nrR9Gy+tgIMz8ertx9OnN1vNxYBAIOACHaTQ9Nz8CaR42D3t9+DgTgoBgDIKb53V0Jq325JwEd/Pj\nZMTH2Khz5Z30vKUNOYCE5kdLUxANLb8Lh34TAa8JNWBUm1BjYlTT9NwANJrQAEbzM41gNJhN/x8b\nmqdxA14/eAEfTW2+5vl6aXkYJ/9rKM2igUYKTjidtB9N6yzf6jLkG9A663g6wzrbA5T8vQAjqmPu\n7GyzcOxyuYiMjGzVFhUVBUBFRUWrcHysaSsqKqisrMQ0zZb3fn28y+UiLCwMu/2r2wg5HA7CwsKo\nqKg4YZ3Dhw//povWZv5TWcnnubn069evpe3Ine6tW050AKAt32/lZ1v5/tytWxk4YMAR09sNo/lA\n0FfPxteGjzr+eOOO8V6dHvrNrF+/vl3/L5DWrF5fpmliek1Mt4nf48f0mF89mk/VMP0mmBwx3PLa\n3zSfw4ePNn3LuFYFHL2mIxtP/L6vt52u+ezatYt+fft9baKjzEfajV27drXa/pD2T+us4+kM6ywo\nMYjIkZEnntBCxzsY2qbXHB/1S/ZbTnu88d/kczqS86KiCHY4GN6tm9WlyDdgt9sZHtm+/0mIyLdn\nGIdOpwY7ur/7ychbn0e34fou60i0zjoerbOOR+vMem3W04zT6cTlcrVqOzQcGxvbqj0mJuao08bG\nxhIdHY3NZjvqeKfTidPppLa2Fo/nqxuEeDweamtrj/gcEREREREREWjDcDx48GCKi4spKSlpacvM\nzCQ2Npbk5OQjps3Ozm7VlpWVxVlnnUVQUBD9+/cnKyurZZzb7Wbr1q0MGTKEgQMHYhgGOTk5LeOz\ns7Ox2+2trlMWEREREREROaTNwnFGRgZDhgxhwYIFVFdXk5+fz7Jly5g+fTqGYTBhwgTWrFkDwLRp\n01izZg2rV6/G7Xbz8ccfs27dOqZNmwbA9OnTefnll9m+fTt1dXUsXryY7t27c9555+F0Opk4cSJL\nliyhrKyMkpISFi1axKRJk464TllEREREREQE2jAcAzz55JNUVVUxevRorrnmGsaMGcPMmTMB2LNn\nD3V1dQCkpqayePFiFi1axLBhw1i6dClPP/00vXv3BmDq1KlMmzaNm266iXPOOYfc3Fyee+45HI6m\nW6/Mnz+fuLg4LrroIiZOnEhSUhLz5s1ry0UVERERERGRDqRNO+SKj49n+fLlRx23bdu2VsPjx49v\nuc/x0dx2223cdtttRx0XHh7OggULvn2hIiIiIiIi0qW06ZFjERERERERkfZI4VhERERERES6PIVj\nERERERER6fIUjkVERERERKTLUzgWERERERGRLs8wTdO0uoj2Yv369VaXICIiIiIiIqfR8OHDj9qu\ncCwiIiIiIiJdnk6rFhERERERkS5P4VhERERERES6PIVjERERERER6fIUjkVERERERKTLUzgWERER\nERGRLk/hWERERERERLo8hWMRERERERHp8hSOO4CioiJmzpzJyJEjueCCC3j44Ydxu91WlyXHsX//\nfmbPns0555zDOeecw5w5cyguLra6LDlJjz32GOnp6VaXISfhD3/4A2PGjGHIkCH86Ec/YufOnVaX\nJMeRm5vLDTfcwIgRIxg1ahS33347hYWFVpclX7Nt2zYuu+wyLrzwwlbtX375JVOmTGHYsGFMmDCB\n1157zaIK5euOtc7Wrl3LtGnTGDZsGGPHjuV3v/sdXq/XoirlcMdaZ4f4/X6uuuoqrrvuujaurGtT\nOO4AZs2aRUxMDKtXr+bVV19l48aNPPXUU1aXJccxc+ZMgoKC+Nvf/saHH36Iy+XigQcesLosOQm5\nubm8++67VpchJ2HlypW8/vrrvPDCC/z3v//le9/7HsuXL7e6LDkGr9fLLbfcwhlnnMF///tfPv30\nUwDuvvtuiyuTw3300UfcfPPN9O7du1V7SUkJM2fOZPLkyfzvf//jscceY+HChXz22WcWVSqHHGud\nFRYW8rOf/YxLLrmENWvW8Nxzz/Hee+/x0ksvWVSpHHKsdXa4V155hby8vDasSkDhuN3LysoiJyeH\ne+65h8jISBITE5kxYwZvvPEGfr/f6vLkKKqqqhg8eDD33HMP4eHhxMbGMmXKFNauXWt1aXICfr+f\nBx98kBtvvNHqUuQkPP/888yZM4e0tDTCwsK48847WbhwodVlyTEUFRVRUlLClVdeSWBgIBEREVxy\nySXk5uZaXZocpq6ujtdff51Ro0a1an/vvfdITEzkRz/6EcHBwQwbNowrrriClStXWlSpHHKsdVZa\nWspVV13F9ddfj8PhID09nQsvvFDbI+3AsdbZIQcPHmTZsmU6amwBheN2bsuWLSQkJOB0OlvaBg0a\nRGVlpfYmtVORkZE8/vjjxMfHt7QVFRW1Gpb2aeXKlQQHB3PZZZdZXYqcQHFxMQUFBdTV1XH55Zcz\nYsQIZsyYwYEDB6wuTY4hMTGRAQMGsHLlSmpqaqipqeGjjz465imFYo2rr76anj17HtG+ZcsWBg0a\n1KotIyODrKystipNjuFY6+zMM89k3rx5rdoOHDig7ZF24Fjr7JDHHnuMH/3oRyQnJ7dhVQIKx+2e\ny+UiMjKyVVtUVBQAFRUVVpQk39Du3btZtmwZt956q9WlyHGUlpaydOlSHnroIatLkZNwKAR/8MEH\nrFixgo8//hiPx8Odd95pcWVyLDabjWeeeYZ//OMfDB8+nOHDh1NYWMiDDz5odWlyEo62PRIdHa1t\nkQ7kgw8+YO3atTo7qp3797//TW5uLj/72c+sLqVLUjjuAEzTtLoE+ZaysrL48Y9/zI033sjll19u\ndTlyHI8//jjXXHMNffv2tboUOQmH/i/+9Kc/JSEhgbi4OO68807Wr1+vo8ftlNvtZubMmVx88cWs\nW7eOzz77jO7du3PXXXdZXZqcJG2PdFx//etfeeCBB3jqqadISUmxuhw5hsbGRh555BEeeughAgMD\nrS6nS1I4buecTicul6tV26Hh2NhYK0qSk/Tvf/+bn/zkJ8yaNYtZs2ZZXY4cx+eff05WVhY///nP\nrS5FTlJcXBzQdOTqkMTERKDpWi1pfz7//HP27dvH3LlziYiIID4+nttvv53PPvuMsrIyq8uTE4iJ\niTlie6SiokLbIh3As88+y8KFC3nhhRcYPXq01eXIcSxbtowzzzzzmNciy+kXYHUBcnyDBw+muLiY\nkpISunXrBkBmZiaxsbG6DqEd27x5M3PnzuWJJ55g/PjxVpcjJ/Dee+9RXFzMmDFjgK+OjowcOZIH\nHniASy+91Mry5Ch69OhBREQEOTk5nHnmmQAUFBQAHPc6LrGOz+c74sijbinTcZxxxhm8/vrrrdqy\nsrI466yzLKpITsbLL7/MypUree2113TEuAN47733qKysZOTIkUDTGTdut5uRI0fyzjvvkJCQYHGF\nnZ/CcTuXkZHBkCFDWLBgAfPmzcPlcrFs2TKmT5+OYRhWlydH4fV6+dWvfsXs2bMVjDuI++67jzlz\n5rQMHzhwgKlTp/Luu++2XOMv7UtAQADXXnsty5cvZ8SIEcTFxbFkyRLGjh3bclRZ2pehQ4cSHh7O\nkiVLuO2222hsbGT58uUMHTpURx87gEmTJvHMM8/wyiuvcPXVV7Np0ybef/99VqxYYXVpcgz5+fks\nWrSIP//5zwrGHcTrr7+Oz+drGV61ahUff/wxTz75ZMtBMjm9DFMXkLR7xcXFPPjgg3zxxRcEBwdz\n5ZVXcvfdd2O3260uTY5i3bp1TJ8+/ajXiqxatarl1E9pvwoKChg3bhzbtm2zuhQ5Do/HwxNPPMH7\n779PY2MjY8eO5aGHHmp1qrW0L9nZ2TzxxBNs3boVh8PBiBEj+OUvf0mPHj2sLk2aXXzxxRQWFuL3\n+/F6vS3fZatWreLAgQM8+uij7Nixg/j4eGbNmsXkyZMtrliOtc5mzJjBM888g8PhaDV9z549+eST\nT6woVZod7+/s8O3Et956i7fffpuXX37ZqlK7HIVjERERERER6fLUIZeIiIiIiIh0eQrHIiIiIiIi\n0uUpHIuIiIiIiEiXp3AsIiIiIiIiXZ7CsYiIiIiIiHR5CsciIiIiIiLS5Skci4iIdFHXXnstCxcu\ntLoMERGRdkHhWEREpAO6/vrrue+++4467rPPPmPQoEEcPHiwjasSERHpuBSORUREOqApU6bwySef\nUFtbe8S4t956iwsuuIDu3btbUJmIiEjHpHAsIiLSAV100UUEBgby8ccft2qvrKzk73//O1OmTKGh\noYF58+Zx/vnnM3ToUK655ho2b9581PndfffdzJ07t2XY6/WSnp7OZ599BkBDQwMPP/wwY8eOZciQ\nIUyfPp2tW7eevgUUERFpYwrHIiIiHVBgYCBXXHEFb731Vqv2Dz74AKfTyejRo1mxYgUbNmzgvffe\n48svv2T48OHccccd3+rzfve735GTk8Prr7/OmjVrGD58OLfeeis+n+9ULI6IiIjlFI5FREQ6qClT\nprBhwwb27t3b0vb2229z1VVXYbfb+fnPf87rr7+O0+nE4XBwySWXUFhYSHl5+Tf6HK/Xy9tvv82t\nt95KfHw8QUFBzJkzB5fLxZdffnmKl0pERMQaAVYXICIiIt9OamoqQ4YM4e2332bu3Lns2LGDLVu2\n8OSTTwJQWlrKY489xpdfftnq2mS32/2NPqe0tJS6ujpuvfVWDMNoaff7/RQVFZ2ahREREbGYwrGI\niEgHds011/DUU08xZ84c3nrrLc4991wSExMBuOOOOwgJCeGdd94hISGB7OxsfvjDH57UfP1+f8vr\noKAgAFauXMngwYNP/UKIiIi0AzqtWkREpAObOHEiNTU1rF27lg8//JApU6a0jMvKymLq1KkkJCQA\nsGXLlmPOJygoiPr6+pbhvLy8ltcxMTFERkaybdu2Vu8pKCg4VYshIiJiOYVjERGRDiw0NJTLLruM\nhQsX4vV6ufDCC1vGJSUlsXnzZjweD59//jmrV68GoLi4+Ij59O7dm82bN1NUVERNTQ0vvPACDoej\nZfy1117Ls88+y86dO/F6vbzyyitceeWV1NTUnP6FFBERaQMKxyIiIh3clClTyMzMZPLkya0C7YMP\nPsjq1as5++yzeemll3jiiSc499xz+clPfsKOHTtazWPq1KlkZGQwceJErrzySi655BJCQ0Nbxt92\n222MGTOG6dOnM2LECN5//31WrFhBeHh4my2niIjI6WSYpmlaXYSIiIiIiIiIlXTkWERERERERLo8\nhWMRERERERHp8hSORUREREREpMtTOBYREREREZEuT+FYREREREREujyFYxEREREREenyFI5FRERE\nRESky1M4FhERERERkS7v/wOy3TIvzHYfawAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52ba9d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d1 = NormalDistribution.from_samples(x1)\n",
    "d2 = NormalDistribution.from_samples(x2)\n",
    "idxs = numpy.arange(0, 15, 0.1)\n",
    "\n",
    "p_magenta = numpy.array(map(d1.probability, idxs)) * magenta_prior\n",
    "p_cyan = numpy.array(map(d2.probability, idxs)) * cyan_prior\n",
    "\n",
    "plt.figure(figsize=(16, 5))\n",
    "plt.plot(idxs, p_magenta, color='m'); plt.fill_between(idxs, 0, p_magenta, facecolor='m', alpha=0.2)\n",
    "plt.plot(idxs, p_cyan, color='c'); plt.fill_between(idxs, 0, p_cyan, facecolor='c', alpha=0.2)\n",
    "plt.xlabel(\"Value\", fontsize=14)\n",
    "plt.ylabel(\"P(M)P(D|M)\", fontsize=14)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This looks a lot more faithful to the original data, and actually corresponds to $P(M)P(D|M)$, the prior multiplied by the likelihood. However, these aren't actually probability distributions anymore, as they no longer integrate to 1. This is why the $P(M)P(D|M)$ term has to be normalized by the $P(D)$ term in Bayes' rule in order to get a probability distribution over the components. However, $P(D)$ is difficult to determine exactly-- what is the probability of the data? Well, we can sum over the classes to get that value, since $P(D) = \\sum_{i=1}^{c} P(D|M)P(M)$ for a problem with c classes. This translates into $P(D) = P(M=Cyan)P(D|M=Cyan) + P(M=Magenta)P(D|M=Magenta)$ for this specific problem, and those values can just be pulled from the unnormalized plots above.\n",
    "\n",
    "This gives us the full Bayes' rule, with the posterior $P(M|D)$ being the proportion of density of the above plot coming from each of the two distributions at any point on the line. Let's take a look at the posterior probabilities of the two classes on the same line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA78AAAFFCAYAAAAkdlrMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52de07d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "magenta_posterior = p_magenta / (p_magenta + p_cyan)\n",
    "cyan_posterior = p_cyan / (p_magenta + p_cyan)\n",
    "\n",
    "plt.figure(figsize=(16, 5))\n",
    "plt.subplot(211)\n",
    "plt.plot(idxs, p_magenta, color='m'); plt.fill_between(idxs, 0, p_magenta, facecolor='m', alpha=0.2)\n",
    "plt.plot(idxs, p_cyan, color='c'); plt.fill_between(idxs, 0, p_cyan, facecolor='c', alpha=0.2)\n",
    "plt.xlabel(\"Value\", fontsize=14)\n",
    "plt.ylabel(\"P(M)P(D|M)\", fontsize=14)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "\n",
    "plt.subplot(212)\n",
    "plt.plot(idxs, magenta_posterior, color='m')\n",
    "plt.plot(idxs, cyan_posterior, color='c')\n",
    "plt.xlabel(\"Value\", fontsize=14)\n",
    "plt.ylabel(\"P(M|D)\", fontsize=14)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The top plot shows the same densities as before, while the bottom plot shows the proportion of the density belonging to either class at that point. This proportion is known as the posterior $P(M|D)$, and can be interpreted as the probability of that point belonging to each class. This is one of the native benefits of probabilistic models, that instead of providing a hard class label for each sample, they can provide a soft label in the form of the probability of belonging to each class.\n",
    "\n",
    "We can implement all of this simply in pomegranate using the `NaiveBayes` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0cAAAEOCAYAAABCcmwOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAIEn6G9jfbJE+yqdHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae645e8a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "idxs = idxs.reshape(idxs.shape[0], 1)\n",
    "X = X.reshape(X.shape[0], 1)\n",
    "\n",
    "model = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "posteriors = model.predict_proba(idxs)\n",
    "\n",
    "plt.figure(figsize=(14, 4))\n",
    "plt.plot(idxs, posteriors[:,0], color='m')\n",
    "plt.plot(idxs, posteriors[:,1], color='c')\n",
    "plt.xlabel(\"Value\", fontsize=14)\n",
    "plt.ylabel(\"P(M|D)\", fontsize=14)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like we're getting the same plots for the posteriors just through fitting the naive Bayes model directly to data. The predictions made will come directly from the posteriors in this plot, with cyan predictions happening whenever the cyan posterior is greater than the magenta posterior, and vice-versa."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Naive Bayes\n",
    "\n",
    "In the univariate setting, naive Bayes is identical to a general Bayes classifier. The divergence occurs in the multivariate setting, the naive Bayes model assumes independence of all features, while a Bayes classifier is more general and can support more complicated interactions or covariances between features. Let's take a look at what this means in terms of Bayes' rule. \n",
    "\n",
    "\\begin{align}\n",
    "P(M|D) &= \\frac{P(M)P(D|M)}{P(D)} \\\\\n",
    "       &= \\frac{P(M)\\prod_{i=1}^{d}P(D_{i}|M_{i})}{P(D)}\n",
    "\\end{align}\n",
    "\n",
    "This looks fairly simple to compute, as we just need to pass each dimension into the appropriate distribution and then multiply the returned probabilities together. This simplicity is one of the reasons why naive Bayes is so widely used. Let's look closer at using this in pomegranate, starting off by generating two blobs of data that overlap a bit and inspecting them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAesAAAHbCAYAAADribIMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52eb25d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = numpy.concatenate([numpy.random.normal(3, 2, size=(150, 2)), numpy.random.normal(7, 1, size=(250, 2))])\n",
    "y = numpy.concatenate([numpy.zeros(150), numpy.ones(250)])\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='c')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='m')\n",
    "plt.xlim(-2, 10)\n",
    "plt.ylim(-4, 12)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's fit our naive Bayes model to this data using pomegranate. We can use the `from_samples` class method, pass in the distribution that we want to model each dimension, and then the data. We choose to use `NormalDistribution` in this particular case, but any supported distribution would work equally well, such as `BernoulliDistribution` or `ExponentialDistribution`. To ensure we get the correct decision boundary, let's also plot the boundary recovered by sklearn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA6kAAAHoCAYAAACrRKlTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAADX+P+RKbfqqXZXowAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae97ee7b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.naive_bayes import GaussianNB\n",
    "\n",
    "model = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "clf = GaussianNB().fit(X, y)\n",
    "\n",
    "xx, yy = np.meshgrid(np.arange(-2, 10, 0.02), np.arange(-4, 12, 0.02))\n",
    "Z1 = model.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "Z2 = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "\n",
    "plt.figure(figsize=(16, 8))\n",
    "plt.subplot(121)\n",
    "plt.title(\"pomegranate naive Bayes\", fontsize=16)\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='c')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='m')\n",
    "plt.contour(xx, yy, Z1)\n",
    "plt.xlim(-2, 10)\n",
    "plt.ylim(-4, 12)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.title(\"sklearn naive Bayes\", fontsize=16)\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='c')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='m')\n",
    "plt.contour(xx, yy, Z2)\n",
    "plt.xlim(-2, 10)\n",
    "plt.ylim(-4, 12)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Drawing the decision boundary helps to verify that we've produced a good result by cleanly splitting the two blobs from each other.\n",
    "\n",
    "Bayes' rule provides a great deal of flexibility in terms of what the actually likelihood functions are. For example, when considering a multivariate distribution, there is no need for each dimension to be modeled by the same distribution. In fact, each dimension can be modeled by a different distribution, as long as we can multiply the $P(D|M)$ terms together. \n",
    "\n",
    "Let's consider the example of some noisy signals that have been segmented. We know that they come from two underlying phenomena, the cyan phenomena and the magenta phenomena, and want to classify future segments. To do this, we have three features-- the mean signal of the segment, the standard deviation, and the duration.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jmschr/anaconda2/lib/python2.7/site-packages/ipykernel/__main__.py:6: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA78AAAGBCAYAAACuDwZuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8HHX9P/DXbrJpeqZteh+0ENrSltI2KbS0QFEB+xUQ\nLHIoCArIYf0q34rfL4gK/BSKWpXDAlVEEYUqQqWgoCDSg7ZpkiZN2uZOmvu+r93N7s7vj83uzszO\nzM5s9s7r+XjwoNmdnZmdnePz/hzvj0kQBAFERERERERECcwc7R0gIiIiIiIiCjcGv0RERERERJTw\nGPwSERERERFRwmPwS0RERERERAmPwS8RERERERElPAa/RERERERElPAY/BIREREREVHCi1rw++ST\nT2LZsmXev48dO4abbroJmZmZ2LJlC15//XXVzwqCgGeffRZXXHEF1q1bh9tvvx3l5eWR2G0iIiIi\nIiKKQ1EJfouLi/H22297/25ra8N9992H66+/HocPH8aTTz6JnTt34sCBA4qff+211/DWW29h165d\nOHDgADIzM3HvvffCZrNF6isQERERERFRHIl48OtyufDoo4/ia1/7mve1ffv2Yf78+fjyl7+M1NRU\nZGZm4rrrrsOePXsU1/H666/jjjvuwLJlyzBhwgRs27YNfX19OHjwYKS+BhEREREREcWRiAe/e/bs\nQWpqKq655hrva6dOncLKlSsly61YsQJFRUV+n7daraioqMCKFSu8r1ksFixdulRxeSIiIiIiIqLk\nSG6svb0du3btwquvvip5vbu7G+eee67ktalTp6Krq8tvHT09PRAEAWlpaZLX09LSFJcnIiIiIiIi\nimjwu2PHDtx4440455xzUF9fL3lPEARD6zK6PADk5eUZ/gwRERERERHFj6ysLMXXIxb8HjlyBEVF\nRXjyySf93ps2bRq6u7slr3V1dSE9Pd1v2alTp8JsNvst393djaVLlwbcD7UDESvy8vJifh8p8fC8\no2jgeUfRwPOOooHnHUXDWD3vtBo8Izbmd9++fWhpacFll12G9evXY+vWrQCA9evXY+nSpTh58qRk\n+aKiIqxevdpvPePGjcOSJUsk43vtdjtKSkqwZs2a8H4JIiIiIiIiiksRC34feugh/POf/8Tbb7+N\nt99+G7/+9a8BAG+//TauueYatLW14U9/+hNsNhuys7Pxzjvv4Ctf+QoAoLCwEFu2bMHQ0BAA4NZb\nb8Wrr76KsrIyDA4O4pe//CVmzZqFTZs2RerrEBERERERURyJWLfntLQ0SZIqh8MBAJgzZw4AYPfu\n3XjiiSfw1FNPYfbs2Xj00Udx4YUXAgCGhoZQXV0Nl8sFALj55pvR3t6OO++8E729vcjMzMTu3bth\nsVgi9XWIiIiIiIgojkQ04ZXYggULUFpa6v07KysLb731luKy69evlywLANu2bcO2bdvCuo9ERERE\nRESUGCI+zy8RERERERFRpDH4JSIiIiIiooTH4JeIiIiIiIgSHoNfIiIiIiIiSngMfomIiIiIiCjh\nMfglIiIiIiKihMfgl4iIiIiIiBIeg18iIiIiIiJKeAx+iYiIiIiIKOEx+CUiIiIiIqKEx+CXiIiI\niIiIEh6DXyIiIiIiIkp4DH6JiIiIiIgo4TH4JSIiIiIiooTH4JeIiIiIiIgSHoNfIiIiIiIiSngM\nfomIiIiIiCjhMfglIiIiIiKihMfgl4iIiIiIiBIeg18iIiIiIiJKeAx+iYiIiIiIKOEx+CUiIiIi\nIqKEx+CXiIiIiIiIEh6DXyIiIiIiIkp4DH6JiIiIiIgo4TH4JSIiIiIiooTH4JeIiIiIiIgSHoNf\nIiIiIiIiSngMfscQa60VbX9ri/ZuEBERERERRVxytHeAIufYimNwDbhw4ekLMXH5xGjvDhERERER\nUcRENPgtKCjAzp07cfr0aYwfPx7r16/Hww8/jDfeeAMvvPCCZFlBEDBr1ix89NFHfut56KGH8Pbb\nbyM52bf7ycnJyM/PD/t3iGeuARcAwN5oZ/BLRERERERjSsSC356eHtx555349re/jd/97nfo7e3F\nAw88gEcffRTPP/88vvGNb0iW3759OxYsWKC6vuuuuw5PPfVUuHc7IbmsrmjvAhERERERUURFbMyv\n3W7HI488gjvuuAMWiwXp6em48sorUVJS4rfskSNHkJ+fj/vvvz9SuzemuGwMfomIiIiIaGyJWPA7\nc+ZM3HDDDQDcXZorKyuxd+9eXH311ZLlBEHAk08+iW9/+9sYP3686vpKS0tx8803IzMzE9dffz2O\nHz8e1v1PJAx+iYiIiIhorIl4wquSkhLccMMNcLlcuPHGG/HAAw9I3v/Xv/4Fq9WKa6+9VnUdCxcu\nhM1mw3e+8x1MmzYNL774Iu6++2588MEHSE9P19x+Xl5eSL5HOIV7H6tLqlGfVx/WbVD8iYdrgxIP\nzzuKBp53FA087ygaeN5JmQRBECK9UUEQUFVVhcceewzTp0/HM888433vpptuwuc//3ncdtttutfn\ndDqxefNmfPOb38Qtt9yiulxeXh6ysrJGte/hFs59/Nj0MQBgyQtLMP+++WHZBsWneLg2KPHwvKNo\n4HlH0cDzjqJhrJ53Wt87KvP8mkwmZGRkYPv27Xj//ffR1uaee7ahoQGFhYW44oorDK0vKSkJc+fO\nRWtrazh2N+Ew4RUREREREY01EQt+33vvPWzdulW6cbN7854piz788EMsXboUc+bMUV2PIAjYsWOH\nJFGW3W5HbW0tFi5cGIY9TzyCLeKN/URERERERFEVseA3MzMTNTU12LVrF6xWKzo6OvDcc88hMzMT\n06ZNAwCcPn1acXqjwsJCbNmyBUNDQzCZTKivr8fjjz+OlpYWDAwMYOfOnbBYLLjqqqsi9XXiGhNe\nERERERHRWBOx4Hf27Nl4+eWXcfDgQVx00UW49tprMWXKFDz99NPeZdrb2zFjxgy/zw4NDaG6uhou\nlztoe+KJJ7B48WJs3boVGzduRHFxMV555RVMnDgxUl8nPiW5/8duz0RERERENNZENNvz6tWrsWfP\nHtX3f/vb3yq+vn79epSWlnr/njp1Knbs2BHy/YtFgiDAZDKFZF0mswmCk12eiYiIiIho7IlKwivS\nx1pjxX7zfjT+pjHau0JERERERBTXGPzGsNa/uLNXl91TFuU9ISIiIiIiim8MfmNZaHo7ExERERER\njXkMfomIiIiIiCjhMfgdi5jzioiIiIiIxhgGvzEsVFmeiYiIiIiIxjoGv7EsXLEvY2oiIiIiIhpj\nGPyORez2TEREREREYwyD31jGFloiIiIiIqKQYPBLRERERERECY/B71jClmQiIiIiIhqjGPzGMgar\nREREREREIcHgN4ZxqiMiIiIiIqLQYPBLRERERERECY/Bbyxjwy8REREREVFIMPglIiIiIiKihMfg\nN5ax5ZeIiIiIiCgkGPzGMga/REREREREIcHgl4iIiIiIiBIeg18iIiIiIiJKeAx+Yxjn+SUiIiIi\nIgqN5GjvAPkTBAE1P66BtdoatvUTERHFGkEQWPFLRERhw+A3BvXl9OHMD89EezeIiIgipuAzBXD0\nOLAud120d4WIiBIUg98Y5BxwhnX9rFUnIqJY0/1Rd7R3gYiIEhzH/I5B4m7PtTtrUf9sfRT3hoiI\niIiIKPwY/MaiCAzJHTg1AEevA1XfrULFtyvCv0EiIiIiIqIoYrfnMcjeaEfO+TlIzUiN9q4QERER\nERFFBFt+E0jrX1tha7KpLzAy1NfW4F7GWhmebNJERERERESxhsFvLAoiH1XP4R6cvvE08i7MU1/I\n052a+a6IiIiIiGiMYfAbi4IY8+tpzbU32EO8M0REFC1nHj+DAxMPhH0WACIiorEgosFvQUEBbrvt\nNmRmZmLTpk3Yvn072trakJ2djWXLlmHVqlWS/959913F9QiCgGeffRZXXHEF1q1bh9tvvx3l5eWR\n/CpRIc7SHBRPi28EEmoREdHonXnsDFyDLvQX9kd7V4iIiOJexILfnp4e3HnnnbjyyiuRnZ2Nffv2\noa2tDY8++qh3maKiIsl/11xzjeK6XnvtNbz11lvYtWsXDhw4gMzMTNx7772w2TTGu8a5ro+6sN+8\nH937VeZBZEBLRERERESkKmLBr91uxyOPPII77rgDFosF6enpuPLKK1FSUmJ4Xa+//jruuOMOLFu2\nDBMmTMC2bdvQ19eHgwcPhmHPY0P1D6oBAAWXFwRcdrBsUHsBjvklIiIiIqIxJmLB78yZM3HDDTcA\ncHffraysxN69e3H11Vd7l3nwwQexceNGbNq0CS+88AJcLpffeqxWKyoqKrBixQrvaxaLBUuXLkVR\nUVH4v0iUmMy+iDVQ9+f8Tfnh3h0iIiIiIqK4EvF5fktKSnDDDTfA5XLhxhtvxAMPPICSkhKsXbsW\n11xzDXbs2IG8vDx885vfRFpaGr785S9LPt/T0wNBEJCWliZ5PS0tDV1dXQG3n5enkQ05RpSVlfm9\n1j/oG++Vl5snCYYBYLhq2Pfv9mHF7+kJmvv6+vzei4fjQuHFc4CigeedPqUlpUhKSYr2bkREbm4u\nTKbwdlHieUfRwPOOooHnnVTEg9/zzjsPJ0+eRFVVFR577DFs374dzzzzDPbs2eNdZsOGDbj55pvx\n9ttv+wW/HsEmf8rKygrqc5GSl5eHpUuX4gROSF6fNHkSetADAMjKzIIpSVowaK1oxWmc9v6t9D33\nm/ZDgIDJkyejG9Kxw7F+XCi88vLyeA4E0JvbC8sMC8YvHh/tXUkYPO8C+xgfAwCWLV+GtKw07YXj\nnOe7Zq3NAkxA0dVFSL8uHfPvmx/S7fC8o2jgeUfRMFbPO62APypTHZlMJmRkZGD79u14//330dbW\n5rfM/Pnz0dra6vf61KlTYTab0d0tDd66u7sxffr0sO1ztEm6PbtGmd2KybGIDDt+4XFkn50d7d0g\nSniCS4CtzobO9ztRfn/iz+RARESRE7Hg97333sPWrVulGze7N5+Tk4PXXntN8l5VVRUWLFjgt55x\n48ZhyZIlkvG9drsdJSUlWLNmTRj2PAqUglNzgPeNYMIrIiKKVS7wOUVERGERseA3MzMTNTU12LVr\nF6xWKzo6OvDcc88hMzMTKSkp+MlPfoJDhw5heHgYn3zyCd58803ceuutAIDCwkJs2bIFQ0NDAIBb\nb70Vr776KsrKyjA4OIhf/vKXmDVrFjZt2hSprxNx4vFPo275JSKiqOs/0Y+ujwPnqgjE0eeAvcUe\ngj2KDYJTYPBLRERhEbExv7Nnz8bLL7+MHTt2YPfu3Zg0aRI2bNiAJ554ArNnz8b3vvc9/OhHP0JT\nUxNmzJiB733ve9iyZQsAYGhoCNXV1d7szzfffDPa29tx5513ore3F5mZmdi9ezcsFkukvk7khbLl\nlyjGOQecaHyxEXO+OgeW9AS+rmlMy12TCwC4XLh8VOs5NPUQ4Br9emKF4JIGv4JLgKPXActU3guI\niGh0IprwavXq1ZLEVmI333wzbr75ZsX31q9fj9LSUslr27Ztw7Zt20K+jzFBqcZb/Npog18GzxTj\nan5cg9qnatF9sBur/rYq2rtDFNv8ZwWMby5pb6eK7RVoeKYBF56+EBOXT4zijhERUbyLSsIrCkAh\nOA3U7dlQ9msGvxTjrDVWAMDg6cEo74lxjl4Hiq4vQm92b7R3hSguyVt+G55pAAD05fpP00dERGQE\ng994wW7PNJaMnO/xOL696TdN6Hi7A8c3Ho/2rhDFJycUe0ClzE6J+K4QEVFiYfAbJ8RTHSVcFzci\nGe/5HiPnupGeFa7hkZ2OkX2n6BBcAvry+9zJm0JA3Psn0clbfr1YYiEiolHioyReiJN/GOniLF6F\np/AUf41pNNZ4TtUQtPzammxBXzNeYb5mWl5vQfu+9vBuhCKqcXcj8jLzUP1oddT2wWVzjf7cjwYX\nFK85wRGH34WIiGIKg994If6llFqUdJQJ4rIQRGOSt+V3lKds2942HJl3BLVP1gIAWv/cisaXGo2v\nyMB+BNNCV7m9EtXfj16QRKHX9aF7CqOOtztCsr6eIz1wOfR3J3D0OHAg9QBOf+l0SLYfSYJTYPBL\nRERhweA3Tki6PY88/51WZ1Bd6hgEU8zz3JlG2XW4/W/u1tSml5oAAKdvOY2yr5cZXk+4rxmXjX2k\njeo/2Y/u/d3R3o2IqfyfStQ+Vev3urXWqrj8UMUQAKDtz21h3a9wEFwMfomIKDwY/MYL2ZyHAHBw\n/EEcO++Y/lWYYmscJZEaT2VPPCa8UhyrGIDgEGBKHjtjOkMhd1UuCi4v0L28rcmGmqdq4LQ6w7hX\n4dX1QZffa8W3FUdhT8LMpVzh1PBcA+yt9ijsEBERJQoGv3FCqeUX8NXua3H0OpB/WT5cVnfUG5cB\nBY0tIWr5DRkjlwyD35h06sZTqH642jttTtgZmX1uFD0LxC2/LXtafMFhHJ9Oat2euz/qxqkbTkV+\nh4iIKGEw+I0XCi2/ejW/0oyegz2iFYRon4jCxNvyK+rW7+h3wDkUpVY7Br9xzzNntK3eFuU9UTCK\ne7Jg9324+EvFOPGZEyHYoShTSXgFAH357rl+nQNO5K7NRctrLZHbLyIiinsMfmOQYitAKOf5jZXW\nNCKZ1jda0fKnFiDJ/be4oufQ5EM4OPFgdHYszBVGDH4jIEJzRwdTQTOafXLZpTf0gZMDQa8rVqiN\n+QV8w3esNVb0F/Sj51CP8oJEREQKGPzGIx3ZniUBtPw9dnumGHX6ptMovq1YfZ7fBDx1PQV9Br/B\n0Xs/i8RUbzVP1uDghIPoze019kG9+6Rwigi22L4oWva0IO+iPDgHDVQKqIz5BeBficFSzKi4HC60\nvdUGR78j2rtCRBQRfGzEC3Esq2N8WPdHGllQ2fJLMc7TmhWqiprRZms28nmjUx15Mtgy+A2O7oz3\nnsMbxljRM11Vx74OY93fR3FPlrf8eoX4dBIEAa1vtMLeop1wytZkkwS6xV8qRl9On3fqJ13bUhnz\nCwCmJGnFmCQfBhnW9OsmnLrhFErvLo32rhARRQSD3xikVHiWFPB0FJScA6Jadtnq2PJLsa5pt3tq\nolFX1ISqXKxxyfgFHwa3yeB3dHQHv54Ww1FUhAhOAQVXFKDxNypzRQcZYI9qn+wqnw3xbb77o26c\nvuk08i/NV13G5XDhyLwjyM7IDrg+R48DJV8rwUCxfzdtrW7PbPkNrf7CfgBA93/GzrRhpF/Diw04\n+YWTnCKTEgofGzFI8SYjLl/ruAeZLMrZoQHAVheDCV+IFARTUdNztAf5l+W7W6iCeF47B5xo3N0I\nR6+oG6DKekrvK8WBcQek068EG/wmMfgNis7etKGY6m2wbBDd/+5G2T3+c0UPnB7wrttwQTEOeuN4\nEoUNlavPMOCZUcDerNA6PHJIGl5swEDxAOqfrUfz75tRuKVQYUUI3PI78rsbbfktGRjAGVccHPAI\nUR1ikiCcViea/9gsbRAg3crvL0f739ox3Dqs+L5r2IX+k/0MjimuMPiNF+JuzzoCAknwKzPcpnwT\nI4o5BgpkVd+vwuEFh3HiMyfQc7AHtT+t9b5npCty9Q+qUXZfGSr+pyLgsp4W6sYXVVoCFVjrrSi8\nphADJe4WL7b8jo7Rll+9FSJ1v6hDb4507K5WBcXJL5z0/aERvAFA5786MVg66P3b8LhlXQvrX1QX\nPaWFAF+j/0Q/yu8vR86KHF+g3OQfKAtOQbUwLZ4D/P3PAq+e069jx3yW5+TgiwPxnxQsZCKUCC7U\nXMP6Hg41j9eg5CslqPxuZZj3KLGpnR9l95Uhd1UuOt/vjPAeEQWPwW+cSJmb4vtDT8svC9KUAIwU\nyGqfqIW9wQ7X4EihSFQ2Gu4cRt0v63StZ+CUu2DsmRrHvSPanznz6BnYGkd6VKhcei6HCzVP1eD0\nTafR+fdOlNxe4l61k8HvaHgqDwLy5LvScU4NVgyi8juVOH7RcekqNIJfZ5+oZSlAN/nCzxbi2HnH\ndC0fK3T1TND4HoIgYLjLV/FqTnEXP4RhlZ5OAbo9wwXsuQV4fonB5GIk4W35jYNz0MPR68CBlAMo\nubMk4LL9Be7Kkb68vnDvVmJTqWto/l0zAKD3MK9Dih8MfuOEKcVX8BBcCrXisj/NFv60FHv6T/Sj\n4x8d+j8wmvlPRdeIs9eJyu06a/49D3nRJaSnS5enBUutda7ljy2ofrgavUfchQRvUi+2/I6K3pZf\nI9meXUMqJb0knfukcb4oBevOficqvlOBoSr1LsWhVLuzVjEjtbXeiuofVit3EdXxSNGsWJC9JX6m\nKa5HrduzqOUXAFy8bEYnDlt+Pb0mPIEXhZ/uSkZKWI4eB0589gS6D8Z/fgBGSPFCPuZXnP/K4fKr\n1WRBmmJR7ppcFF1dpHt53V1aFT+MoLp+egqBkrGEOnbDWzhQ2aZ8zJS3EM/gd1RCne15uGPY2yUX\nAHo+6YGjb2T8t95u+BrLKQUZdT+vQ/0v6lH0+QDXRpCnSNG1Reje7y6wDJYOouq7VTh+4XG/5U7f\neBo1P6pB3U7/XhK6xtYGGlYp+uqell/FxRyBE17BBZg0FiN9QjEWPuJ4qwy5QBW8eruZU+JqeqkJ\nXf/qQsFlBdHelVFj8BsnJAUml/Tv6oerUf/LeukH+MtSIgg2gRAQVKnYWmv1TRMmvob0tBYGKhzI\nCmyebqQMfkdJbx4bndmeP5nxiaS7c/4l+Sj8L3dSJs1AW/SWo9uhnmBH4WVPxYgnqVRIiE6njnc7\nUHC5u8DiHFI/YEOV7pZnxemMFJ4pgiBIjomR1kPNll+tMb9JvpZfk8CW31GLw5Zfo9PJJTrV6c50\n6j7Ujf3m/eh4T71XluLwBLGRn6Tp5Sac/GJ4s0MPdw2j7uk6JjGTEQT1+2YoJFIFCEOkeCGf51f0\nd/vf2jWXJ4o1um/QAjBUPYSqh6pUFxnuGFZeXxDXwJnHz3j/bTSLbMDCgZyn0BnnwW/3gW7kb87H\ncEd0EukZ7vas1Sqrcl72ftJraFtNv3HXkLs3LNuGwjq84751nHN9eX1o3N2oOEVQyCh8TaUxvyc+\ncwL7k/f7PqazcgAYfcuv4BTY8hsKnp81iHJtx/sdsNZYQ7o73nW/1+HNv+BH4TLpPtCNj00f49j5\nxxQD+b5jfSi+ozjEexl9LX9qwYFxB9D5r+ATTtU+5U4OWf2DatVlVKdUkym9qxTtb7YHnA9cD3u7\nHTU7auDod/e8GawYRPbSbORekIvK/6nEmcfOjHobwVb61D9Xj7qfK+cRGTozhKaXmyKeATsvKw/H\nN/j36AmZBLrZMviNF6IHU87yHEmmUMVxaAl0klLisdXqb+EquroIdT/1PWTEtdz9J/vxyYxPUL6t\n3O9z8koiwwy2/BZ/eaRgpRK/yAObROn2XLC5AD0HetD0clPEtikuVPRm60y0opLtufK7lThx5Qn3\nH4ECgGAqvuXpGZSCX0+XeR1P5Lx1eSi7rww5K3KC2JkArWaeYdEKhTalwNwzN2zBpwvclR9ax8fI\nmF+N4Fc8NY9JAAQTH3ajEWzCK1uzDUX/VYSji4/6vVf9g2p0/bsr6H0SXAKKPleEnPNVznGFU6dg\ns7tnw+CpQbhsyidiyx9agt6nSLK32eFy6MxmvaMGANC4W/+MAz2f9EiCU8/UZFrPIKOtfkan7hNc\nAiofqkTfcd8QvtK7S1H9vWrUPO7+jrVP1GKofMjbQ2bg9OgqANv3tWN/0n50/cf4uVrxrQpUPqic\nRyR3TS5K7ypFzyc9o9o/o/rz+9F3TF9iN0e/IyGn5NOLwW8sUmrEktVOtbziu4krFUriqQsTjT1K\nBSY1QxXSJEAHxh3wZo3ty3Hf6BtfUHjwB8g8q8ik/G9dCa+U5jZVWzeQEC2/4uNiTjXj1E2nUPWw\neit9yLYrCiBP33Ra34dUsj3X7axD14ddfusNtN1gaQW/AQuMoThFtNahNS5ao7TQ/Z9u1D9bH/j4\niN7WauXW1fLrYstvKIi7kQcivt4dnQ7FZYbODKHmxzU4ccUJQ/vhtDrRfbAbgiCoBq9eolMnb0Oe\nf68Tg707BJfgy9avweVwoevjrrC26Nnb7Dg86zAKr1SY/1qB5zpyDbngHJR2A+4r6JNkWAfclRb5\nl+Qje2m297X+PHdGbK1nkGrLr+dl+UcN3qs6/9WJup/UIS8rz/vaUJn72W89Y1Vcp2piQp08Lcf1\nv6jXXlBGa+gIADh73O/H6rSitmYbDk0+hOKvGOsJkUhzOTP4jRca17higSlxzlEa6xTO5cFid88H\nS7pF+3NqD2Adz0yjCa98H/T9c7h7WPF18frjNfgtvr0Y+82+Lq8V36pA2xttqH2qFsPdw6jdWRu2\nMUJamUcFQVAsyOvJ9jya4Fd3wUCh3OQ9Bwx2tQ+KVsOvxjEKuG8uY8dHc1lH4DG/vpZf7d2iAHR2\ne278dSP2m/f75idXCZYND/8YUfb1MhRcVoC2v7ZJEs7JWWut3soqAOjL7vPrdaKZmVhh1RUPVODI\n/CPoPqScxVZwCeg+2I3aHbU48akTqPmRuyXS1mALeUODtdod6HV/7NuXjr93oL9QZT7rkVJ853ud\nODjxoPdlW7MNeWvzkLNK2nru6HJXWjh73Tci8XXmubastVY0PN8gec/o7yrYBQyUDOi+L0qmivPu\nELz72PJai192b63zRN9OSrejh73NjoMTDgZeMIYNnnKXn1r/1Grsg2z5pUjTvMEq/YoMfimBeR7E\nyVOTNRbSeEutYC3uEhrk3VG8jk+mfSJ6Q7agrOVX7zQ6saLlVfUuhCevO4mq71ah4VcNYdm2VuG2\ncEshDs857P+GSrdnyXoDtVzKymdDZ4YMtwZrjfkN6RPZ4DOg7P4y7d4LovOz8TeNGO6UtmoIgqCd\nfEyQ7lOg4FfPVEcmwVh57GS/SgAxlokSwblsLmmFnUjZvWUAgNY9IwXmIHMNdbzfgSMLj/iNFW57\nsw2Ae2yuVlBzdNFRVH1Xu3eJ1v1BKYhseM59n/ImOxTpzelFxfYKFFxWgDM/PAMAaH6lGT1He3Bk\nwRGU3V9/oSwlAAAgAElEQVSmuS9qenN7kXdRHoaqZdObyXMECAKKrilC7upcxfWoVUp5pt6zN0iv\naZNFurzkWLmAws8V4uiioyjfVo6Ov/sSYBlNqlV2fxlylueg8331sciOHgcqHqyAtd6qeCGLu+QX\n3+rfSukacmGwbBC1P6sNqhLC+xkDwe9AkbSrtSdJoKIwVcw5+h3oPRb8vMrD7f7XuKPfAWut9vj9\nROpRyuA3XsjHjSnU1kneT6CTlMY2xW5qOsZIatY4j6LlN2BNttqYX9lYS28h3pPsSKHlt+l3TWj9\ns8Ha2RjQc8A91kmxNj8UNFbb9a8u5e5mKt2e9a5X/tnug93IPjsbpXeXovPDTgg2HV3pEaDbs8GW\nX81xgWpfU2UTjS/6hg50/bsLRdcWYeDUAPI352Pg1IBk38ruKfMvjLqAUzed0rnn8LsGJfNy9zgD\ndnuGEzC79Mf4ZYODWJWrHECMZeJEcEczjkor7JSMHHDVXh2iH6TkayV+b5/64inY6m2of1Z5hgpB\nEPyCX0evA53/6lSvtJRdN1oVKwWf0jdNi2dbxy86joZnpJV41hqr9x7X9Ovgch2cvvE0+nL6JEkW\nAei6X0jInoHeY6QzVhW36PYc7kHne75gVTw9n9GW34597sDZc5yUnHnsDOp/Xo/i24qVf9sAvRJc\nVhdy1+ai6n+r0PVB8GPMjQSp8udH9rnZinOmh1LvsV7UP1fvPUaFWwpxfP1xyRSnRsr8p2/xDRUS\nXAKaX2nG0YVHcXTRUTitGg/BBAorGPzGIh1jfsUCdntOoBOWxiCF89db8NI6tzUe/q1/UQkoxZeS\nWsIrjW0OFA94xyEHJCrEA8qBT+mdpZIHVbzp+rALRxYfCWkmaFuTTVd3anmhUU9iHyPdnnsOuQt1\nzb9vRuGVhXB0K4+BBNz37+pHq9F/st/byiR5X2/CK/mYN61uf2qxuI5pYqxVVnS824Gc83PQc6AH\nJXeV+O2bX6IxAeg/rtGyKtsfrZaLkq+WqLZCiFt+AfVuz8/V1+OFBt+xrhjSaKEZQ6x1VjgHnCi4\nogC5WbmSHhGeVsL8y/NR/Vg1bE0K42A9sZXKuSduSWz+fbPf+0nj3V0IXIPSz4sTmcnXfeqLp1D4\n2UJJYCb9sPo+yDl7nAErMHsO9+DgpIPo/KfK9pxQvVYHKwZR80QNnANOzcopz7jmodIhSRAjvz41\nu3DD/7nhOXZ6u6VL/lbpnQQEbvlVC3K1jrW91X2+2epsys9rjQR8gHvsrec88szF3vNJD3LX5iqf\nuwBO3XIKp24ZqaTzNPyq3BMFp4CKByvQVyB6pivsyvELj6P2Z7WK6wiF4+uPo+JbFdhv3o+KByu8\nsw8MlvsS3+ptma/6vrTXRMOuBpR8tcT7/NIaR934/EgFaQJEjgnwFRKQ0nUuOx8lF6tCd0m2/FIi\n8xYIDGSXFSv5in+LhJy4UCEZ+6RxbeWsyFEs8LlXqLx+7/oS8G7cc7AHthpbSKa9AICeIz04Mu8I\nWl8L3Bpe8lXZb6yj5ddIt2cj2Uw7/t6Bmv9Xg9zVuf5zsiP4ll+t6UdUv2cwXfEEhQKivDeSbHvO\nQacvi7aC5pdl14k8OD6qEhx7rhPPmF+VC/1bFRX4RrkvCzyHBruDhaNnHcWx5cfQ/e9u1cqKnv09\nqHm8BoVXKSRdChT8BmghNI93/4Dy5EziZGvydXta9QZO6svuO3BqABUPVqgmzlJNqDWy662vt8I1\n6MLJ60+qbkPtWi3YXIDq71fj4KSDyFub5/d+/4l+1D9T7w1Weo/2Im+deznXsMsvQZW8N0rJXSWS\nFnX5fcgz9624y7KYOJg+PP8wrHWiSibZTyd5Bgb4Xbs/7kbXxwqtr6KPNb3chPL/9p+ZAVC5X2kl\n4IM06Zp5nPu8Kvh0AfoL3MdYrPOfnbDWWdH25za0/blNsk1x13NHn8Nbudq+rx31P6+X/o4q+1L1\nv1Wwt2s/56y1VjS/0qwYzA+WDqLp94F7EdT/3Pe9xL+9WoK01j+3ov/qfpz50RkA7ozZku2WDEr+\ndlldGKpSrij0dpdOgJtpAha34p9aNkIxT6p3gAmvKMEp9YQYeYBr1SqPOjOh2t0x2J688vXJxqDq\naZGLV5pjsw3wJGtRG2cl/s1b/tginQojQEFKEISArSzi+7CR4NfbKqxW5vYULA2O+9YskIbwGWBK\nMvknrJIXVmV/drzTIUlMBAS4JuVvqVxn4uzERro9J+7VpZ+jx30e2up85QetCh9PsOn5HOD+DR29\nDtXgV94CdebHZ6RZ4Se4b3yuIRdqdtTgY9PHyL8s35eAySVIpq4T9/JQ21f5vhReVYj6n9ej+Q/K\nFZG1T9VqnouW2RbF9UqonFD2Rl8ANHByACe2nJAEE7lrclHxQAUcHf49RY5vOO4XxIjvSUNnhtD8\ncrO0glXeG2TABUe/wzs9kJz4nmFvtCN3lWgogPzritYtLnN6F5e1bA+VaveuKL2rFA2/avDO2yu5\nJ2uM+fWMX5YTD6vxBL+eCkHLNF8yTGu9FYVbCpG9JBtKBk74EnMdmnII2RnZcNldOLVVOozD3mZH\n2Tc0xnjL7lmODgeqvl/l7fmUty4PJV8tUZwCKeeCHJR+rdRQF2rxUClPTyTv34d7YK2x4vQtpyG0\nCDjzwzPo/MC/J4O8EqfsnjJkZ2RrTv8UkcSMYcbgNxYp3ZNlr3mTTkDlREygrGw0xikFv54HuFbJ\n12Dhf7hjWNLNzWQ2YaBkwD3voHjMr0qLWvJ07QBPtTubZ3Vx9Dwx2rMkOS00wa+n4OwJguXkXSlz\nVuZ4E9wEzPYsGOv2bChQDXC4vOO+jc6NqRWsGxzzq8WUZPJ/psjH7AY6JzTedg274OyXlhxVfwtR\nyy8AuHR+H3MCVy7pplAu0Oo94FH69VLvv7s/6sahtEN+LUje9ckqZM784AyqHvJ1tUyaMNLteciF\n6u9VA3D3EPGtAOg94gsAxK17apU9arkF5PcDj5rHa9D1QZd7rlOF80xP4V5vAND1zy7FeejlBJfg\n1xLffahbMh1Nz37fcWr6bRPa32mXHCvA3fIrDxbLv1Xu3cbx9cdV9yFlXorkb/F3rNzuP6etPAlX\n21/bFNcrCAJa9vgSJHrGEkueiUo/7cjbeoYSyRNrJaW5z7PmPzSj4DL3OG9xXgan1enNegxIewPY\n6mx+26zdWYvqR6phrdRICiWLqMq/XY7aJ2pRsb0CgG/qo+EW/2FAnuvQWuVb/3DnsOZ82WozRHxs\n+hj5m/L9ppRU7Mkhe451vDsyVltjjuJgM7rHEga/sUhHt2cJpW7PCTQfFyWm0Zyj4Qh+Cz5dAFut\nqHbbDOQsz3HPOyhel8q1mDQ5QDQke051f9SN4Y5h78Mmke/GnqB1tJImuo+xPNP0sZXHUHh1IRy9\n/kFx/4mRAmWgbM8CArfqi7s9GwmmApyLnkJ6oAK1fJtaY591zWWtkynZ5N/NWbZ+efAqL5gJgqB6\n7RxIOYBDUw9Jl1cJfoNt+U3gy0s3pUJr3c/qtD/jFND2hi+o8QRbat3SFbfxU982PPcCv27PI+Qt\nx33H+7zn7JlHzyh+RqlV0rMutWzDFdsrcGjyIeRfmu//pp6TRbTMqVtOaWbKVfuugZYpuLQAHe/4\nui/XP+3r8lp6dylOft6/W7ZzwIljS49JXmt4zj1t0bHzjhmqMOvLlQaA8gquwdPSLrPynh6A+7c/\nOPkgir/kC+K9w2BELb+K09MZaGGs/2U9Bk75evp4gsmSO0q800eJFX9ZmrDP2edEwy5fjgDzROlJ\nUPXdKm+XfTXye5ZrwH0ui3taiJct/Fwh8tbnSe7jnq7FgiAgLytPc75s3flFtPZZJVFj3U/r0HPU\nPX66L3/024k1EX0eFBQU4LbbbkNmZiY2bdqE7du3o63NfVPNycnBLbfcgszMTFx++eX46U9/CodD\nuXb/oYcewvLly7Fq1Srvf2vXro3kV4k4wwmv2PJLsW4U9TOhCH7l19RAoXQ8mWq252Dnt1S4TAv/\nqxB1O90Fw3jq9mwymzBh5QT9y4fou3mCX7nB04Po/Ecn+vP9xzB6C3sBxvwKghCw5VdSyB5FhlA5\n7/QZBp/IauecVqAZ1HWXpBBMy9bftFs6Xk2pVcJQjwG1/ff8js6RqY50/g7xdH2Fi+pYVw01O5S7\nz6puI0DiHbPFfZIrTSsEuLO1iw2VDQWcA10t8BQHi3KeVj9xy2nD8w1w9DoCDn8ApM+Htj+34fSX\n1RMT6pkOTV55pETPmGe12QEcnQ4MlWt3S5a3GMuPX+ldpUFNseMJAj08Lb/d/3GfA9Yz0qmObI02\nHL/kuF/wHYgngRbgrkzQut+0722X/O3sc6L8m6IWeoWPWmZY/F+UrET55eG2YdT+VNRTwuQeutP5\nXif6jvXhQMoB71uea7Rxd6P7uGio+VGNevJOnfzGmI9w9jmRf3E++gv6JZUCHrZG5QqneBGx4Len\npwd33nknrrzySmRnZ2Pfvn1oa2vDo48+isbGRtxzzz343Oc+h+zsbOzevRv79u3DK6+8orq+6667\nDkVFRd7/8vMVau/ilcGWX8XaMTb8UowbTVK2UIz53Z+0Hy1/Up+rVnx3lKxL5VoUj/VSpHCZSmpu\n46xsPjlrsup7s78y2/vvqZ+ZGrJtqgW/HkVXF/m9Jk8m5eh24OQXT0oyrLoX1C6kumwuaRItI7+X\nzlNdfi9XK5h4V6sW/GrMkxvMs6H7393u6YfEqwl0/cp/Kj0t6+LF1Vp+RVmBTZ46MB29SNjyG1zw\nW/cT7ZZhuYCVgAE6yMhb6WwNtoDnrFLLGqDe7VnNcOswDqUd0jdFm+yEkl8fYnqCac+YZy161iNO\niCTmN59wEJp/34zj649joHjA8PzmYp7MzOLKxOrvV3v/Xf7f5d6Mxkb3z8M16ELXR/qnP5J381Ua\nDiDvYi7nsrsUK2IGTg6g6v98Xf873+v0z5bv2e7Ib6zUiq6k8jv+3dGNEA8rUCM4BL/7/elbTod0\nFodIi9jzwG6345FHHsEdd9wBi8WC9PR0XHnllSgpKUF7ezu2bt2K22+/HRaLBcuWLcOnP/1p5OTk\nRGr3YoqehFcS7PZM8WgUvROa/9CMyv+tDJjtOVBrT9XDVarvqXW5Clsm9TgLfpc8u0Tx9dTFqVj+\nh+W4XLgclwuXY82Ha0K2zWC6T8tbfnsO9KD9zXYUfEY236dLO/j1ZFH1MJT0I8i+ufIad3mBSK1l\nQLALqs8A8fl7YNIBNL7UqLicnN+1Eqijg/z4qHRtVKPV7dkzF6w3+NWxvji7vMIimOBXT4ukWKDg\n12iyHFudLWDQp5ZNXmv6MS3ibtqq5F9DK6h3uucqHrx7UHWRomv9K+5CSa1reDByVuRgf/L+oD/v\n7Hf6DdmwN/t+w/a32uUf0aXlD77KbOegU1dg51Fyu3R2AKUeDKpTbY048ZkTOLroqOYyAND0UpPf\n9jwEhwBrrRXtb+o8BqO8sQ13Bg5gW15pwckvSLvY9xzsQcd7yhnF40HEgt+ZM2fihhtuAOAOzCor\nK7F3715cffXVuOCCC/CDH/xAsnxzczNmz56ttCoAQGlpKW6++WZkZmbi+uuvx/Hj6oP4446OhFdi\nTHhF8Wg0QWTPgR7U/awu4PilgJVAgnrBSXWe3yCvrYCFvjgrnSenJeNy4XJkHs30vjZhxQSs3Lsy\nbNtUavlNTtdOpuUNomTH168lUxC8U6oorkd2vhoK5HQuKz9HAlXeKLV0AyNjgRU22XO0R5KwxTXg\nQtnXNbKXivi1aAS4DvyC1wAt637U1m8GCj5VgNK7SnUFv53Dw3ikqgodKsOoxpLSO0sDLzQKza82\nq04PVP9MPYpvL9a8xiRG7r96WpeMtvCGgvzZo5QR3busU0DrX1rhLFCvSBgqC+881MFWBISDs9+p\nr3V9NNvocwZV2eMhScKmk9LYYqMEp4DTt6h3oZez1dkk8/0apZZJW65jn3+gm3pWatDbjbbQpOA0\noKSkBDfccANcLhduvPFGPPDAA37LvPvuu8jJycHevXsV17Fw4ULYbDZ85zvfwbRp0/Diiy/i7rvv\nxgcffID09HTN7efl+c+7Fmsqy/27MXR3Ko+PAYCefv+LtKK8AmfyzgAA7HWBT+54OC4UXpE+B/Lz\n8mFKHV3EV1FeofpeR3tHwC52tnobDs85jNQf+9/EO7t8tbyFJ3xZEguOF8A8XX+9oee42mu1r8PG\npkZ05CnXpMby9ems9BVikv6QhDJnGWBgd418N6XCZaBCXV11HVryWjA45F9AEG877808DH5LvRBx\nIk+aeKT699UqS0oNDQ2h5oy+cZODvYPIeT8Hw38eRspXUwJ2e1ZTkFsAV5V/wS//YuXhQcGcX4EC\n+tI3pIFWdVU1YKCs1NainDm2b6APzmz3OecJfnPz8pCsUlHw1exsvONwIF32fixfU+HiHVseYrm5\nuTCZTOi7XX2MZsUD6vdqJSm3p8D+mh09TT0wLzfDVRxbNfp1VdLW4UHbIA5dfEhx2cH+QdR2K2fH\njpTSr4W34sOIuvw61FxlbCy5UU2/bkJbk/I9RI/qR/Td30OtsbYRjhZjFRXyBGdGBByupaF8sBzm\nvPgcUBLx4Pe8887DyZMnUVVVhcceewzbt2/HM888433/zTffxBNPPIFnn30WixcvVlzHtm3bJH8/\n8MAD2Lt3Lz744APccsstmtvPysoa9XcIp7y8PGRkZOAkpLWnqX2p6IfyhPRTp01FB6SF5oxzMjAj\nawYAoO5gHSqhPi4gaUpSzB8XCq+8vLyInAMf42Pvv9esXoPkScmq7+uRcY7/teIxffp0mJJNaIHG\nuN4Rk/ImwQpprW36zHTvZy9YdQGO4AgAYFbuLDh6HMh4KkPX/nqOa2N+I8qg3so2f8F8LMpaJHnN\ns/5Yvj6FTAGN3Y1IvybdcE1wMOed3zEP0IAwf+58nJV1FvIm5aEP0sJ5VlaWd32Dt2nXnq9avgpH\n4evS5jyur+Vi/PjxSMlNgQ2Bux1anBZYfmLBwMcDsP/ejmUvLUMpjBdaL1h+AQaTB3EC6plCxTIz\nM7Ef2t0YTSYTBHEba4BYZPhVaeC+ePFimFPNOA19rRrp09LRDP95WqdMnYIuuFsPPcHv2sxMpJhl\nhbCPPwYA2CZPBrq60CGrOInlaypcjN5f9ZpzeA4WfGtBSNc/L2MeGtIa4Kp16RoPG2nz58xHFXxD\nASbPmCyZikgsNSUVGSsyUITwdW0ev2R8wIRWsWL4tciMFXW8Ezut3Xo59zgxcdlE9FXFfoblrCuy\nYE6O3eBXq4IzKnttMpmQkZGB7du34/333/dmfH7++eexc+dOvPTSS7j00kt1ry8pKQlz585Fa+vo\nsp7FMvn8b2KK2Z6N9Cjl8GCKhlBU5AcY8zsaal1Oq79XbTgJjNb6fAtI/4yXcfsmkwnzvzE/Yl2g\nMo9lBl5IRJ7wKliBsthqkWewVd3GoAtDVb4CbNIkI5MJi9aj0u1ZjWe+VU2jLS24YOiab31N+Xku\n/h31dHuOj6sodqRfp917TknFtyvQ+Bt9Y8f1SpqYhKQpSTEZ+AL+UxOpTRkDuO9Bo+mCq8e8++d5\n/z1hxQSkLjZ2Px6/ZHyod4mC4OxzGs5yPVozvjADc++da/hzsRz4BhKxPX/vvfewdetW6cZHamqT\nk5Px6quvYs+ePXj99deRmaleuBEEATt27EBJiW+wuN1uR21tLRYuXBienY8ww4VehV9R3CWNUzxQ\nLApF4ijNMYQ6El6Jl5Xr/tg31EAxCZ3R6zRQ7CvfV5baFU1ep55lWsm4uePc/1A4/j1H9Y/rCpjF\nNgSmfnqqJEA0WYK7dwvDGtmeFdT+JHCXTKXsp0YIzsBTSYm5rMrBgjjpjCf4dcVJRVEknOzvx9N1\ndX73J733q6TxwVW4lN2jb+y4XuYUM5LTtDsnnvXwWTCnhqYYO/GCiYaWd3RJWxXVzlcgMsFvytwU\n379npQQc8iM37qxxId4jf4HmyaXoSJ6ejDlfmRPt3YioiJ2JmZmZqKmpwa5du2C1WtHR0YHnnnsO\nmZmZ6O/vxy9+8Qu88MILil2dCwsLsWXLFgwNDcFkMqG+vh6PP/44WlpaMDAwgJ07d8JiseCqq66K\n1NcJL6PPcaWKUfG8pDqS/hBFnKwsMFhmPGnDqRtOqb9p4LxWukYkmXQNJqELijz2HcVUEonMZDIZ\natWYc8cc9BzuUZymovRu/V2KG571n+sw1MzjzJLfXd66pJdgNxb8hqQkEKCwLbj8p8sYLfPIPUQA\n8I2yMvym0d36KL6ex9pV9HR9Pf6nshINNmk3e6WszSnzUvxeMxo0hYsp2RQwYEyelgzTuNBU7k++\n0FilmjzXgHNI/Vq1N9tR/KXioPZLr5lbZ3r/nTI3RblHoIw4e75lWoA5bEPAkq6+jXELwh98B8My\nO/zHJdos0y1I25Rm6DOzbp0Vpr2JjIgFv7Nnz8bLL7+MgwcP4qKLLsK1116LKVOm4Omnn8a+ffsw\nNDSEW265BatWrfL+99nPfhaAO2FIdXU1XC73jfCJJ57A4sWLsXXrVmzcuBHFxcV45ZVXMHGisZq7\nmGXwaa34gIit3BBEfpyDTkkh9diy4JM2KGnd0yqZ929UFK5Jw8FpoLut/H1ew6pMycYKvKVfVwly\nDcSWjS+GtlunIllGZNdAcCeBc9CJjr/rn4ZitF3CAQQ+Xw12eza0aUHAC42NuKfM3foovjI/7NI/\n12ci8Bxim6xCTylrslKyG1OSKSYK/KZkU8DeBs4Bp+b8uoGYJ5hhmeH+rkZ7yFmrpDkihkrVx9sG\nex3rNfOmmTCnmL0VAXqCX8tsCzY2bfT+nTQ5/LUeWq30yVPDm4Jo+uemB/W5WTeFL8ibe4/xrsbh\nkDxd/7HPzMnEhjMbsPzV5WHco/CLaMKr1atXY8+ePX6vb9u2zS+Jldj69etRWuorvEydOhU7duwI\nyz5G24AgwOk0dqNUGosmDioC3dTjZWwhJZajC4/CMsOCTW2bor0rgSucdAS/M66fgfa/qc/NF+g6\nlL8ftvmEE8Dy15ej/P5yxbFRUz89Fd0fqWfHF4u11nWX3YXhVl+QYnSOVY8zj59B59+156SUCMVh\nCLCOsnvLsOzlZSHYkI+n27P8KDl1PNM+VVCAnRkZyJpsrMUv1iWN3EfEx8DucsHapp3VddzCce45\ndZ0CLq6/GEfmH5Gci0Ys+uEi1Pw/fdl8TckmxSnr1Cq4pn9uOjr/4T63g70+PDJ+moH2d9rR9c8u\npGakYvYds9HyinKCxKTJSZLpeXoOGZ8KJ1zGzXe3mnrGHY+bNw4TV03EYLF6b6qVf16J5Cm+ECDY\n/AKhEuwQDz3WHlkLc4rZe94YEc7hLsFeX0ac9dBZqH1Ke1iLZbr+yi5zqhmpi+J3iiMPdsCPIQ6X\nC5v7+/F/lVWBFxaZdMEk/xdHrtfhzmE0/a4pBHsXGbZmGw7PP4zWvyZu8rKxSqmSZbg9MlkfAwm0\nH/mb/aeI8ZvnMVBrZKBnu/x9tvyqmrJuCrJysjDzizP93puwfILu9cRa8Nv2Z+nUHMEW7sXj1fWI\nVEVL88sh6okxwtPt+QsnpRnf9Vw6H3d34/qTypni45knhGm223FqwD21UdqhQ/jCAe3M395WOZc7\nkc1oegNMWq1QJlExYfkEXNJ3CTY7N2PKxVO8r4vvp9M/Nx2LHl0EJAFzv+5rLXP2O3Huc+fq3tbU\ny6dKEkPN+8Y8rHhtBTJ+noGFDy7EuU+rr2tD9QZsqNng93qoul3LTV43GWc9fJauZT1dsBf+nzvv\nTfrn07H0xaWanxGPEQaU51BXEkxCNC+NQxXq4FfckizYBZhS1Ne/4IEFqu/N+MKMkO6XmNEkUylz\nFIYpBKDWqnv2jrP9ltHToypUY+yjLTG+RYIYGunWfcYWeEoMMcUkAiNP//JvlmPgRHjm9guHlldb\nYG+04/SN+if5pjgRw8Fc72H/8aBithr/azLcwS9bfgNTakk0Uout1OIUS5wDQY75Nfq9InRthqu1\n7D/d0mBfbwKsYVcM35SC5Gn53VxQgPNzctytvi4XTL3+33XG9QoFe08GbYVjaJll0QwiPIwUkM//\n2/lInpQMk9kkCYDE20manISzHzsbm4c3e1s5AXeSKXFAMG6h+70pG31BNACkbU7Dpo5NWPOfNZLl\nTSYTLNMtWLh9IczJZpjHqe+3Jd2C1LNSMWOr75glT03GZUOX6f6uADD7jtm6lpt25TTM+8a8wAvC\n3cgBAOc8eQ4uHbgUE5ZMCDiGVx78qv2u8hbhc58+FxeVXSR5bf5/z9e1n1qMDmUJZMJKXyXouAXj\nJK3ccqkZyi2ZydOTMf2q6djYslHx/dE463tnIX2LsYqE1LONtbiuObhG9Vpc+KAvQbDnmann2g42\nIV6sYfAbQ4ZHHjYmo+UxpS6ZI+uy1esIpGO7/EcJItGCOb8AI9AzIVBsLG9pEZVVOTRBWfJk/wKN\nOHGKp3A/eFq5+1+stfzKte9V70avJdaD+lAxq8Suero9AzFdHxc0s2z4hKdcMUHhEjj7x77WH8/9\nyXuvUTg4G6o34JLuSwLvg0YQOXGVNDfL+HN8U+xMu2Ka998zPu8fmJtMJsm6Fz+6GJMzfd3WM36R\ngRV/WeHXYprxkwxfpZjGqWFOCVwkXvq8r0U1KS3J8FjhlJn6Wu+GO4clgcbE1RNhnqi8f579NplN\nSJqg/SDaULsBmccy/e6dai2v5glmLHlhiffv5KnJftuYsEJ/bxv52OKF/7cQ45eMx5LnlvgtO/1z\n0zFlg7siQ09g5ttpIHWhL1Acf854pJ6VijlfVc5orBZ4OzrdLeops5R/s7OfPBsTztP/3cW0gnE1\nignqZJb8yncczRaz+u+a7BvvPj7DfQ3qOf/Z8kshF8rgFy6g4sEK9ByMnXEpNLapBRqCU0BfXuxP\n6ONc7UYAACAASURBVC5nuOU3kJGPu+wuHN94HE0vi4YrjI1YZlTO+/152NS+CcnTfIWK8/eeD2ud\nVfUz9gbtcZDRNlShnkTHQzFRTGxOjRpyas9KvUFtIk6RJA99PMHsRIUOYKZkE+Z/c740CPa0/CpU\nVpospsDdU81A2qVpmHbFNCx/3T8pzvI/LcfaQ2sBALNvl7aCLnpkEc5/53xs6tjkDnJHNiUOMMVB\n0Pizx0uC5+TJyZh14yzJCTBv2zzdmZzFSaLE3UJX/3u1bxui+4trUPtMEwciHunXpGP568ux9pO1\nmp+dsmGKpFefyWxSDLTn3DVHcTtqUhemYsqFU/xeV31+CcD8+3wtu8lTkv16G069bKqubZuSTFjz\nnzWS16asn4L1ZesllRgeK/68AiveWIHFjy/Ggm+NdE0OcPqd+8y5WF+5Hhk/z8CkrElY/aHvt1v8\n2GLf9xj5HZOmJAX97J5711xJIq0pm/yPq9ikTN9wgPHnus/bi8ovUlscy//ku35M40xYustX8bKu\nYJ3yPomTaCUBE5a4g3NPrwixlXtXYvW/V3vH8OpJdMfgl0LOPtIFy2jwa29WKMAJQP3P6/WtIPGe\n/xSLVMoJNTtqkLcuL7L7EgJGg9+AY+hG3u7N7kXvkV5Ubq/0bWukIOqyu4LuCpvokqclw5Ju8fsd\nhsoCB5DhFmz2XF3j4BKjF1pQVIPfMdzymyQLkByy4FfSepQELHluCRY9ssh/RQqH0JRkCphF2DzO\nDHOKGas/WI3Zt/h38TWnmJG2KQ0XlV6EZb+VDlswmU2Ycc0Mv1Zacc8XrVZlz7XvGvL9skt/tVRy\n7/XkBJh25TRoEXf3nfZp37Lia3K4zd3dOP3zyt1X52+bj/VV6yWvTVw1EbNvmY0pF09Bxs4M91hm\nBXNunyMJNJa/utwv8DOlmHDeS+eptkzq4QmKpl4qDWDVKgxMZpPfbzBxxURc2n+p5nYmr5uM5a8v\nx+Qs2Xq1WuJTzUhdkIrFP1zsOxYBbonpV6dj/OLxGDdvHNblrsO0z/h+O3GipnN2nIOLSi/ChjMb\nMHFFcDPFmJJMkgoQtWf8zC/OxMbmjcjKzcKyl5dhyqYpmP5f7qB5wrnqLcfiZ9mSXy1ByuwUrCtY\nh7WH16qOqzdbRBUmySZM/fRUjP/5eL9KBwCYeslUybl9/t7zMfNmXx6NWV/yz3TN4JdCzh5kLbTS\ndC6x0sXUZXOh8n8r9c/hGr6EfxRlai2/Hfv0T8kSS8I15lfxATryfM3OyMbBSQf17eAYkZmdiXnb\n5nlr4Kd+aiqS0pJw7jPu5DVRT6pmQtAtsXoyjeqZzzNRqQW/eg93Irb8yrs9D45Uqnu6Pa96Z5X3\nPck9Sz7qQmEKRbXWRzH5OOJxZ0lbnDzB44SlE2BONl4E1awQGolXtebcnXnjTKzcuxIr31ipuR21\nLqBK3//8v52P5HRpDwxPMr7xZ/tappMuSvKNrzSZsPA7C3H2Y2dDbtLaSe5jLXoWTFw5EWf9n7s7\nt6crcCgaLrJysrDqH6uQtikNl/Zfis2uzbik5xJMXjdZso1N7Zuwoc6d8CtpYhKmfVZaeZA0MQnL\nXlomCZg2tW9CVl4W1hWuQ1ZOFiavca/zgvcvUNyXxY8txowbfOeP+PzQO/TH05U3IJP7HLRMsyBt\nYxqmbwliKqQk2VzsKqfmyjdWImV2CkwmE+Z+bS4yD2UG7J4OQPL7es7HSasnIe1i95y8gXoPmJLc\n12vy5mS/Md5KJi6fiJV7fNfFitdWKK4zETD4jSHBtvwqiuAzvevjLuRfmq84j2DTS02o+1kdCj5V\nELkdotik0syiNFVXPPALfnW27Kq+7SlUKSw3UORutvGM4R9LY4D3tLSgaki99XbKRVOw9FdLvQUl\ny1QLLu2+1NtNbtpV2i08kRDOscUhmaM3QtQSy4TamG75lf094HQXzi0jj2dx9ldxQdZ7//EM+dWY\nm1apIH1RyUVYunsplv1G2po7905pRltDWX2Vuj1rFL49wbynVUwcSHmXMZkw8/qZSE4L3UyfJpMJ\nM66VbkspuLbcqByYeQJG7/hR0Vec89U53u66ix5ZhE1dmzD1UyOttAZvK0rZhVNmpyD9v9wt10kT\n3WOYlcajWtItSF3gu34veO8CLHxwoSSQnXvXXMy9a67kM5MzJ2PSKmkr5fTPTvd+R/EY4MWPLlYc\n+ysh+/nnbZuHJS8swYa6DdjYvDHo33XVu6uw8i31CpELT13ovytJJukYdoVTc9XfV/m/KKM2zZS4\nl5fSmOe0jWmS8dbya0tcuSV+77xXzgu4T4mOwW8MCbblV4mhlt9RbvbEp06g51APGl9s9HtvuMv9\nxLU3RndsnSAIcDn0F3XGUnARKWoBgLiLWjzxSyoU4G4aMDGKWfZ/kbx1ebA1+JLXuazxecwA/cmI\nAKDRZsOXiouRkZ0d9PaiPX8lMPqeON5WGAXiMYixzlqpPv46GGoJr8b0mF/ZfcYT/P71i8DS3yzF\n+MW+lkitlt+Mn2cAANZXu7vtzrzJ1x1yXaH/eMMJyyZg3j3z/KbMWbB9AeZt82UtNtRyZLTb88i6\nJ6+djPUV67Hidf+Wq0A80y0Zva6W/GqJavdnL5VJBZb/cTk2tmxE6jkjwaXoEJ33u/Ow+NHF3r8t\nUy2Yv20+UjNScf6+83Xt26SsSbik5xIse1H/PNsLti9AyrwULP+j/7htwP08y/hZhjuQFfF0Kw80\n1OPCogux+P8tlnRLBjR+X5VLdd698zD/vvlIXZCKlNkGun/Lu5AnmTDzCzMl2bzFlLpGm5JMWPBt\n3zRJ4opIT0XDlPXa44ABICsvS7H7u3iqO9XjIvoe8utSUrklutbFieWMCEVW71jB4DeG2ELY8tv+\nt+CyhI6GYsBo8LsYzZyo18nPn8QBywFdhdDuQ93Yb96Pzg+NT4geD4Y7h1H3y7qIjx1VO/aJEvyq\ntcBZa60of6BcsWeEh90C7ErvRJPNpnoNnLrplPff8Trut3t4GMn792NbWRla7IErxOwhmIom2i2j\nglMYdQKqWbf6j73yMDKvcaJR7fY8llt+ZfeP/pHgt2EBMO9u6dQ5ioHoyKFbuH0hLhcux/jF47HZ\nuVkSSIrHFS7/03Jk/DJDdX+SJydj6a9Ec84aKBNk/MK93oXfkU7LsnT3UmQey/RbXlzAH58xXrKf\neq3+92psbNmI8UtGMuBO0LeOpIlJmHmj/7zjAJB5NBPTrpiG5E8pB9Qms8k9blfw/a1l3Pxx2FCx\nwdtiG8iqd1YZzi484dwJ2Niw0S+4DWTcvHHIPJaJdfnKCZk8Jq6ciMU/WOz3XdWCPE8La/rVvu98\ncdPFfq3Ko7Xyr9rd4cVMSSaYLWZfoiuTO5v2+ur1WPrCUmx2bIYlPXA37AlLJ3i7tItJgl+Vbvie\n7toZv8jAxPOkAbqk5Vd0X1CcHjWAdQXrsORZ/YnVYl38VBmPAaHs9tzxtv5xlGFt5Qyw6uGuYVjP\nWDF5rb5sjMHqeNd9PFx2F5JStVuCan5cAwCo/n41pl8RxDgQg07dfAouqwur3g7cPWY0Bk4P4PiG\n45j2mWlo/1s7xmeMV5xOImzUpiUZjM9ATm/Lb93OOjQ816C5rr1fAF6c1YEdR47gI+cSxR7S4rmI\nXQMuIII/XaicHHB3336+sRHPNzbitQkTkKWxfEjuTCGu4k3/fLqhceqDp3TmO9Cg2dXTbMK4heNg\nqzM2P3wiGG3Cq8Rr9/U/3Qc0KpCUziul8oA8QBEXqmd/Wd+8tUt3L0XHux26xh56zLhmBja7NvtV\nCM67R3n+21CMR0wan4Sk8UlImZWC5a8t97YE6zHtU+4WtUU/kLbiTVk/Bas/WI28PO3Ejt4K4hDX\n14Wyi7ceStmk9TKNU/7ys26aheS0ZKRdkoZDUw65lx3N763yUfG5tuaAf5IoiZGipKeSxWQxSaZY\nMpKMUOm7TFrjC+zVpno658lzkH51OtIuTQu4znVF6zB4ajDgHNBKxFMIJgIGvzEklN2eY0aAr5R7\nQS5s9TZc3HAxxs0b/cVlrbXCMsOimkxAsAlAgGFn3gd9hGKytr+0RWQ79c/Uw9nn9PUKiPTpplZQ\nTZSWX5UWW3HtrZoWUfnxqfpaPBxgeT3rjEUpZmnRvMjpxJc0lhefGRWDg0g2mbB4/HjV5ZWEujdJ\nNOYG1py314wx24eLUx35U+v2rESr27PmNiYmYeH/LTQU5My7Z55q0KolXL3B9Jj9JX2Bvce4+eNw\n2fBlQSXyAuB7Rob4KwfT0hctasfOZDb5tXSHu1ePvBv1kheWoPMfneh4x1356Qkul764FGXbygxN\nOSUnT5iZMjfFmxEaUG8RN6eYvZUucvKKrEnnT8Kk8wO3lK94Y4X3mZN5LBMDhQO6WrDjSfxcEWNA\nSBNeGSDYBDj6HeFZt0rhouapGtQ8UeNN4KM4XdMIe6sdDS82BByz6+hz4Oiio8hZmaO6jFIGSznP\nDU1wCbA12LA/dT+aftcU4FOxTz65vKHEIyGgdi4kSvCrVmDRDFwUnLEGbsGLdLfnAacTbTq6KQdi\nkRVkAz2AxMHJkmPHcHZ2tq7u0mGl49Bn5Wq1ZxuXMidFcdoJYCSjZxwlvQolTnXkTx78NmldL+JH\ngsFTKOOpDMy8Qbmbb7REo2JKLujAF/CekKG6ntcVrcPqf6+OagVCWI3iUOs5JvLW1vn3zceqfaJs\n6SPrmLBsAtZ8uEZz2qKA2xL95ue/fT7WFa6T7mMQ31XPbAFKZn1xlneasikXTpEkMUsUDH5jiKfl\nN9LBLwA0/ToEwZ3Sfqt8l+qHq1H9/eqAywHAyetPovz+cjS/7D+lk5ij0x3AW8+oJ1VRC35dDhcG\nK0a6J3quChfQ/IdmCDYBpXeWam5bjSAI6DnaExMJtJInSzt6RDr4VS1pRv/QBEVvt2c9DyDBpPxv\nNZFu+V1w5AhmHT4c1Gfb7XZcV1SEE/39/sFvgAKI0pFbdOQIeh3hqazTQ08Be+Lq4OaNVGNKMmHF\nayswaa1Crb0ZY3aKOE515E8e/FZoZEpXnJ4tjg9JpILfc546Jyzr9ZYTQlQyn3T+JMk8rvFi7t1z\ncfaP/aeAkgt3pZ/aONtw8Ywzn3bFNKTMCH7uZs8Y5NHM/5zoGPzGkGi1/AJhbEkKwXfpzXaPdbTW\nBsgUquM+6Al+O//Vid4c3xjK0rtLcWzJMXQf6vbeUAWXAHuTu9Y8aUpwGWOrHqpC/sX5aPlDS1Cf\nVyM4BbS83oLhbv1zmEa75TeeC1VK9HZ71jOVkzjg1XP9B1ujG6zukWAzmGDhqdpa7OvowNWFhUge\nRcuvh00QNLtyhpueArbJZNKdKEcXzyw0Cr+7fD7QeKCU2TQYbPn1Jz/rPOPslWhNdRSPjPayCZZl\nVpi6gHpafhO1pVanZb9ZhkWP6LhHjOYWq+MQK1YOhVHW8SxcXH+x8rA9A6f2mo/XYFPHpoiP9Y4n\nDH5jSHcUWzPU2FvtKNtWBlujjmQqWi2/Ae4h3hpPpeX0dgXScZ8SbO7tFH62EMcvOu59veUVd3Da\ne6RX0vI73OYOLoOtQav7aR0Ad7IpOafVGVSLcO1PanFk0REUf7kYxbcVS94b7hhG4ecKJYG9h3zK\nl2AyYY5GLLR+h1K4Wn51Bb9R6t7nqaATBAFnhoZ0/aaeHi0DLpffLcIMYNjlUu8Sr7JOeetWJOk6\n9mZgfdn6kG3TWyGnVLiPwzG/qYtCM9/vaMf8JiL5tfFhV5f33/LrTCvbczwyp8bZhSDjGVdpmZFY\n4yvDJeyVfhE+nZInJWPcfJXcNwauS3OyGZbpPIe0xPedIsG0DetvxQs5lXtI+X+Xo/H5RlQ8UAHB\nJcBaa8WJK0+g5K4SXavVDGolC7r/11/Qr75MoLPVQMuv5mpELb/e/R/lVKGpi6WFPUe/AwfHH8TJ\n608aXlfVQ1WwN7hbpHsO9kjeq3+2Hp3vdeLEFSf8Pyif1y5Wuj3HKfk4dbWCl57g1yX6qNrcpWKV\nLivODA2hamgI/+jQn3l4tGwj18NH3d04Ozsbe9sDT6nmOcsEQfA7BUwAUg4cwFWFhYqfVTty8hbk\niNLx+5hMJqTMCWGXs5HzwzXsv3GT2SQJYuQ9PGJRMD0XJqz0H0832qmOgNiulOt3ODDodOL24mL8\nqr4eAGB1OvGV4mIc61WeNFarYsjv+ouzHgNqMnMysfixxZicFd5ZI8Lt3GfPxdx75mLJrsSZUias\nwhTBnPfKeZh9x+yYSPI043r3tA4Tlo3dKe3CQbNNfP/+/bpXtHnz5lHvzFj3vWr3GNhIdHsed9Y4\nzLtvHqq/N7JNlQfmUIV7vJBzwImy+8skY4PP++15gTdkIHthX34fWl5V7x4cige1nuBX3PLr3eYo\nA7fyb5Rj1i2zvCnmPdOSyKdM6cvvQ19uH+beNVfX9/ULYEf209kn7Rbq6HGg7J4y7c+GW+yWMYNS\n8hVpBVDSROWgIxzdntdPKgeyfX+3bdyIGSmjD7b+3dWFOqsVX52rnODCMxd5o819/nbqqLDzBr/w\n747q6esibp0SU+u+Gs3gV2+reyimXfGtbGTbKi2/4m2ZJ5j9rv9YE6pu+2oVRUa657cOD2N2CK4d\nsd2NjfhxTQ1OXXghpiQH7nroFAT8pbUVW6ZPxzSLr8A9+dAh779fbWnBNxcswGutrfhjSwv+2NIC\n4fLLAQA9R3tQ+WAlVr6xUjMecAmCenAcx3HwlHVTMGVd8NPrGBamYzVu7jgs270sPCtPRGH6Hebc\nPgdzbp+j+v4FH1wAR0dkemqufHMlHL0OWKZGPxBPJJp35XvvvVfXSkwmE4qLiwMvSLpEJPidPw6L\nHl7kDX6VvN7SgnGtg5gOIHlqcsCkWIqFQk/Dr47Cav8JjVZfICQ3OkMtv05BWnIfpbqf1uGcHSOJ\nMlR2o/LBSnR/1A1zqhlzvqJ+8/Xuq2xMijegle1v/TP1/p+NQPC7q6EBTkHAtxYs8M1hmKDUgl/B\nbqzbs56WX7khjbk8jbjihLvHwB1z5ihes57g1zESXFjMgavePesRYLwOSW35cAa/64rWIXdVrur7\n0ehy7r0nqYz5FUsan4RhRLEXkQ7BjM3UOw7S7nIZOs9sIbp2xO4rc1c07u/uxrUzAk/I/YfmZtxZ\nWoqrpk3DP1ev1lzWrrC/J689ieH2YVR/vxptywaBi5Q/6xQEWACsObjGO9OCl+fREcMt4URiwYyN\nXv76cpz54RnM+ELg61LN9CumB14oRExmEwPfMNAMfktK9HVtpdA4tHYtLsnPj0rCK6XA8h+dnfhi\nr/tBmzzV/1Rpe6sNM7f6pjrQU8hX5QrcGhCwJVTPWEmbdCFBEPxvoCMxjOASfIVOnQUCQRDg6HIo\njrdwDjoxWDEIc4pZtbtzf767AqDrX13BBb+iv+2tdu9YZaXWx0iM+f1meTkA4FsLFiRcy6+cWoIj\npa6qckZbfuVCHQoOC8L/Z+/Ow6MqzzaA32eW7PseshAgC0sIkERWAduiH3VfWkFsBZcWWqCC1uoH\nrdVaRS2trRaRqm2tdfnaqnVr3VqVKAoYEcIqEPY9QvY9M98fk5mcc+Zss2YyuX/X5SWZOdvMnDnz\nPud53vdFhEbw29X7fTAShIrvH8m/R3pzm/dH5lfve+GPQXWii6PR9qX6KLxuTNr7Ft9YGgj9HjPn\nZ+L030/D3mFH02dNxlZS+MiVbhRFrl+PKQnGs4DtAQh+xR4/dgzVTU14eqR6pdTBdsdgju+oVECI\nKY6Q3vuRn/zjSTRfBtXg92hHBwpjYpB0fpL7kwM480uDy7j3x6F1R6vq3LdaMudmuqbxocHL51/J\nzs5OXNBbekO+mZaY2H87V/jh67LZEN3bPjv++HG353dcs0Pyt2JW1dkmE51pSoGkvceu36jUHRpW\n+mdPaw962qXlf/Jj/ND0odsyklJn5/tisH1Ue1ctPk79GA2fNrg917ixEZuKNuHToZ+6ysnlokc4\nhrrvOmssc6Oa+QWwIbNvahqlGwcse/av/sz8+nt0ULXRlP96ytEtodub4Fehz6/4LH/77Fk8e/Kk\nq58j0D99fnVH+AxS3/WJe/siGFf2XO0GoeiYTNGhFfwmX+Q+1Yo1yYryj8qRON233zy1G0WfqPSH\nVeLvzK84MysAWLx3L/548qTmDdRoAxUUTkpLioMAs0bF+3VGKvTC/DrtD4N9NOb+lnxBMnIW5/T3\nYdAAZngc7DNnzuDhhx/G9u3b0SmaNL2xsRGJ/Rm0UcB02u2SgXj0yMsBu851KQ94pRQjd9t9zvzK\ny2qrYqtgijJhRtuMvl23u+/crfzLmWWxeV727Bzd+dy755A4Wfq9aP5cp6wb8Hh/8iyVakCr8LDR\n4Pd0ZycyPOwTd+vevdjcJM3ohH3Zc5xK8OvhaM/eBL9KGdJdLS3IiIhAqtXzkqmWnh5X30Nxo/3e\nQ4dwz7BhrsyvfN5eJc5MVQ+A+bJqog7RtmfLBr3aWlmJZ066z+0tQCX75Sd6wa9fyp4NHH5MoWiA\nE63Mr12W+ZUFv4WPFmLfj/Z5c5Qeiy2Nhb3HjtZdra7Hxr09Dp/kf+Ia50DM0BgMvYSIwHzmvgS/\nPQp9aP94Qrl7kA3q4yZGm40PUqZ07ovfG28rx5K/kYyWrS1InMr2HBGFN8Ohzc9//nOcOnUKc+bM\nwalTpzB//nxUVFRg2LBheO655wJ5jIOOtz9e4/4zDlHDvJxCQqFd0WmzSRrlesSNwsOrD+PjlI9x\n9q2zrsds3TY0fNKg2OCxd7tnfhs+kWVPPcz8Ao5gV9x472lRmF7ILv23Uua3/WA7Dt530Hh/KKXK\nNJ1yxCO/PuJqxBodEEYewMob7jvm7nCUdmtkfg+3t2NBSws2K2RLnj15EpkbNmDtsWOK+6+qr8fI\njRuxv02ayX702DH37Et4x75InuWe4QKMDXglvsnkzfdfPrptQ3c3Rm/ejLGbN+uu++jRo8j/5BNJ\ntrdVFBBcvl1aor+3tdWrzG+7zeY256hWfcO4zz7DowrnXaAHuwpG8KuUOcq8IROZ31Eux3N+f4se\nUxkFViPzG6zRn0c8MgKV2yoVpzESX/tGvTDK9W+lm5FqlOa+9EeO29uy590tLbB8+CF+e+SI5PE6\n0SBwa473VUw9pRIUA0CMKPO7ocHxu6c2YrUz2J76MXDug3PYOHIj2ve3u57XunmWpnEjbPgDw1H2\nThlyb89V3wARURgw/NtRXV2Nxx9/HAsWLIDZbMYNN9yAhx9+GN/61rfwpz/9KZDHOKisjIxEeWyc\nV+tGDIlA1gL9fqJKlBpjnXa7R8GvuAF27FFHo7Vlq6OxK5gEHLr3ELZM3YKjv3UffEmp7HnL1C2y\ng9TevTj7IW6gigPJnqYetyBMbb5Wu83uSFf1Onj3QTR+arycTk4v+N3/4/1ornZkh40ETM7lNmRv\nwIG7HQOXyTPBZ/7vDNr2tqH1y1a3dZ3L/vTAAWy32TBPoSTuud4y1z8rZOAA4Du7dmFPWxvuO3hQ\n/2DDPPg1RZiQelmq2+OeNPABIEnQ6XOq8Ji80vFkb3XOic5O94VFTnd24tZ9+3CkowM3iD5/cSD8\nhmwqpb+dOYOu3oDBSOZXawnto1Pml+BX4y3WLXv2x0DKCruILozGqGdHYfT/jcZ5O8+TPtl7vFnz\nszDTNhOxpbGSp8XXO/l1JlglmpnXZ0IQBJQ8VeJ2fOL+8Jb4voIz8XdjyKIhrn9nf999tHGlPvWJ\nk30f4bfDywGeXu6d5mv5/v0AHBUSqw8fxufNfRU+b53tu/nrHARLSYwo87ugtzqiSyUoNwGAHbj/\np8DWr21F2x7pjUetsud0jeDXFGlCyoUpMFlCq2w+JLHqmWhAM3yVEwQBkZGOyZetViuaey/wl19+\nOV555ZXAHN0gdFVEBBYNGaK/oAJBEPw6EmmXD2XPbgMRCMDpv58GANR/UO++rh/KnsXB97bZfSWU\n4kCyp7nHrfx2/4/3K++nxz0w7mnuQeOmRnw+7XN0HHMv49PiyUA0RjO/7fvb0XmyE4fuOwRAuZR5\nU8kmnH7+tNvjzmWdIwXva2tDm6yvp9pMVbtaWlC6aRMO905506TSR1TsyG+O6C4z4CmcokZKOy2i\nWROeLRmlviCAswoDTcqzRCM3bVJd/2h7O27duxdnu7rwmCiz+rJozl61Pr9OnmR+tXgTeGjNY2qU\nZsm/ytc0cUYiptVN8+s1NrasL0h0TleUcW0GYkdJg0fxeeUWzArSG39uwXuwYpne3UbmRKL4iWLJ\nU5Ksreh48u/MhznRjLJ3yxAzqq/Mu2RdCeImSG8Ci7cxo2MGptVNQ2K57/O6Gil77ml1/z7Iv3Nb\nmptxR22tobmv5ZS+R2qDwZkEAbEtik8B0K4cSfCgvJo0MPglGtAM/yyOHz8eK1euREdHB0aOHIk1\na9agrq4OVVVVMHkwWAPp83qqAcH7kUhPRXRj5pYtKPjkE1TVO4JTT8ueG9Y3uBoJSoGec+5JpTv4\nSmXPbjzI/J57r2/UTHH/s+YtzbC1SRs7Z//Vd3fe0aGwd3tKg3DZgO1XbkfjhkZ8WvApquKr0Hna\nWP7KkwGm1IJf3X6zHnwVXcGvKNBxzjXt2l/v/7vtdmxqbHSdm3fW1mJHa9/72mgg+NWbKmsgc5WW\nKnzE8hHGlcx9se/fkTqZ39t/7f6YuCGuN8fp4r178eixY7hj/37VZR89dgx/PHFC9Vr0s95Mv6+Z\nX28m5PFH5lc3u6sgeng0rKlWn/uu59ya43pTooui+45JY15g+Y0/t89FdElze21BaqiLg3L58Ymv\n+eLXElcWh+n10x1Th8hPe3kMLyrnFqwCrKlWv7w0vbLnfbftQ1VsFVr3tqK7qRsfCB/gA+EDdItu\navXY7bo3jJwOtbdjxpYt2CrKECuVOJ9UqdowA0hyv3/solX2HMG2ml+kX5OOpAuSMPaNsf19nxz7\nDgAAIABJREFUKETkBcNXwpUrV+L06dMQBAHLli3D3/72N0yfPh3Lli0zPB8wGaTStsq5VWd0O8H7\n/mh3D63D+oYGHOrowIwvvgDQe+fZg9ZF6+5W7Pquo3RSiHRvgPU0OhoH5mj3u8/2Hrtuo9KTzK/Y\n5xM/d/37zD/OSLLC7gfiGKwKALrOdLkFv+JBsOzddvQ09+Cr17+Sb8Wj41NcVGV6HN2MsAcfvzP4\nFTf+fnv0KLaLGmXO4Ki6uRmTPv8cz592ZJDlF47Gbu0J38N97sixrzsaQUolpkbKnnNEXVvl34Oc\nH0m/94cK3NffIvrMuhXe626bDYd6p1Op7/2s9rW1qZ6Sfz9zBjfv2YMnjruP8i7evpFAVGtwqv4q\ne9aazkh1+gznZcvLsueYMTGYVjcNhY8UKg9sp5WU0/ml1sr8Bm1kWvFuZKegWuZXsro8+JfPQCfa\nhvM1+WPgM63Mb3dTN44+4uimU/9hPZo29w3id66qLwK9dscOw+flitpaVDU0YO7Ona7HlILfEpXq\nDUEQNINfrbJnpenLyHPmGDPGvz8eqZe4d3MhotBnOPjNy8vDn//8Z0RERKCyshLvv/8+XnjhBbz/\n/vtYsGBBAA+RnJJmKMzNJyaoD7qjp8Hi3gDostlg9/BGcd3Ldeg61+XWgBQEAT3N6llhe7ddP3Dz\noAGopXGDer9de7cd7bV9g4d0N0qDuvbadrfMsb3bjvbD7boBnic3JuRBbk9Lj2tfShKmJBjehx3A\nr34MvNXgCPLlmY+fifrvyrfm7P8pb1CfFQW/Sn3V1AZvCQfDHxyOpJm9302lsmcDwa8kWyNbPCJb\nf6Tt63ftQnfv+y4OTq2CgG9u24a4qioUfPoptjc3I8ni6HNZ392tmyV+8yv3GzvP9/YDBwCrgUyS\nZp9fb8qePV7DnVbm15JgwchnRqL4D9LSXec63lbXCObebKUgKAakWjf33JaXH4LBzG/R75UHzCp7\npwyVNZWq+zdE44Mu+HmB7nLy1y9/zUpTOPkSyjkDQa3gt+biGsnxiEes7mzqu+a9XFenWI6vFRCL\nr5Pi6+PetjbXjSolJgAHC1Sf1sz8Gvm+EhGFO4+uhA0NDdi2bRs2b96MPXv2oKurC4cOHcJmAyOK\nkgdU2lZaZXGA48c5ZVYKErwYBERplx4PeNXry+9/qdjn10kt+PU283vkN0fwYcSH6DrjTRGllDPI\ndP3dJP1775K96D4nDYhPPH0Cnw791DXNkRpPgt/Wna1o+sKRZfjqX1+hKq4Kx/9wXLXhbe+yOwa1\nMpCVOpcM/OsS4C8nT2Ld8eP4WDYq8z/r6lwjmMr39uLp06huanK7cOxra0PlZ5/hoq1bcabL/XPQ\nG3hpQPNDNOY8s3OPANuvkI6ubLREt1Uh+O2y2/HW2bOuvrWfNjYiURz86h2XQuP9S9HI3p6M9qzE\ns17z6sfk8TZ0uiBk3ZCFhEnS66gr+NX5Hpc8VaL4uN78u5rXd70bf6JjiimKkT4pXldhFzk/ykHK\nhSmIK/VuoEXFbcveoviKvr65qkG+/HskW0xpJGxfzoRRMTEQAGT3WPFZ5Wc48Uf3bhkNH0lnHBDP\nv94j+71S+oiUvh/OILkHQH1XF148dco1dZjTbfvUp6YSALTEAXuKlZ+P0LjUMvNLROTBPL/PPPMM\nfvWrX6FbobxREATsMjJ5Ohmj1rbSu1XhHHAkN9LjXdoUfhM7DWR+Gze7Z1Hbj7TDmiwbVVL8mhT2\nteu6Xcj7SZ7mvux2O44+dhTH1x5H5ZZKwAy0fdmG/bc7Bqw6999zmusb4cxOu/5u0o8mnaVwtXfV\nuh7rru/G/rukA2l5UvYMAMfXHEfxE8U4+YxjpOWjjxyFOUE50mr6rAmbStQHORJzDq7UaberjkC6\nfP9+LMvLUzwVK6ur8T/J7hUG1b2lt0pTenxz2zb83tDRDTySxryPbctihY9D76aXU+aGDTg5dSou\n2rpVdZlWmw3RvdmfDptNN/Orx1CfX41l6ryYZsYfuSsj/e/VphEbsXoEdl0v/b2Lr4xH02dNKHy0\nENk3u49UDMi6e3hY9uwWMKpkfjOuz0DeT/JgTjRj/3LH9Ufy/iu87Kh8L6fHkx+jeD9ap5XRsufe\n5ZL/JxljXxsLU4T7ir6UPc9MSsL6CRNQ/5vjqK1uxp6b9yD7pmx0ne3C7pt2I2u+dOYEu92O7rN9\n7Z+WPW1ARd/zq4+43/yUf792tbTg2d7KiR67HXN37sTb59x/t+TBsGSbvf/vVCkI0RoMi31+iYg8\nCH7XrVuHFStWYPbs2YiK8u7H8osvvsDq1auxc+dOREdHY9KkSfjf//1fpKenY9OmTVi9ejX27duH\njIwMzJ8/H9ddd53idux2Ox577DG89tprqK+vx+jRo/Gzn/0MRUUqcyAOMGrls7p9XgXZ/z0gD37t\ndruhPr/i/rROUXlRiqMku7atkjnpPKWTHbQB+2513BFv3taMk388ieNP9PVJPHz/Ye31DZAHu/Jg\n2Kijv1aezskT7Yfa8aHlQ9ffbfvasOs6328yWXuTF50GAg+1c1Gpweb0haj/qZN4cKywo5NZM+qn\n7ZkYPyYCgLQRrfu979Vus+HNr77CpqYm1WVqWlpc2Sg79O/H6O3Z18zvNi+CX3/krsTZ9KjhUZKu\nDkrLiP/OnJcJW7sNe27e43ouf2U+ooZGIW6cevZUUvGiEPwavcmhxPk9tSRZYI42I29ZXl/wa9EO\nfv3WH18c+2psU+18Vi17tkEx8JXt0mNmQUDEiW7U3tl303JD9gZ0nnT8Dn31qrTk/9AvDknKnuVV\nUf935ozbPuRB7HnV1a5/2+x2vKNyHY1RCVKburtdlR1dKrMWaQa/zPwSERm/id7T04M5c+YgJSUF\nMTExbv/paWhowE033YQLL7wQGzduxGuvvYYzZ87g5z//Oc6cOYNFixbhyiuvxIYNG/DAAw9g9erV\nWL9+veK2nn/+ebz88stYs2YN1q9fj/LycixcuBAdHd4U0YUgtXZDAGcpkO+ypacHRzo6vGpdWNOt\n7gNeiahO/aITZ4obKRCgWKbmK3mw292kPZCTJzwNfp0Db7nW97KvoZw486vHmz0qlT2Liac0CQfi\noMWXktxbu9JxUVGGT8dyvU4FzlMnTuB473XydFeX7gi1eq/G19GeveH3sme1biYqmV/APVAVzALi\nJ8Rr3qhQKnsWB4lawa9blxC77N+9l1Sl/UeN0LlZ7a/u+Bplz6rLiamN9qyxrTYvbp6Id7fnlj2S\nx5yBrxJx4AvA0DSA8pfaIu7nC/WXFqMyJVHCRx+5vuPdKqmLOPd7jy7M/BIReRD8Xn311Xj99de9\n3lFnZydWrlyJ+fPnw2q1IjU1FRdeeCF2796N1157DTk5OZg3bx6ioqJQXl6OK664Ai+++KLitl54\n4QXMnz8fJSUliImJweLFi9HU1ISqqiqvjy+kqDXGjGZ+jXCropPu1FkO600vWnO8WX3EVKhP/aIX\n3IkHDhIEweMyYiPcMr8Gyp4NC8DxesMV/BrJ/Hqx/bM6wa8QEV7ZB7+VPQuOzF2gHRQNpvOkQom6\n2GsKA16JGSk79fen7Unz/VeHD8PywQduj0uyoWrXW1nmVzJCtM60PEokwa/S8hovTOvGma3L1hcc\ni7bhvMkUU9J3s0nxxkEAgt/4ingIVgEF9xa4L2Yw8+saVV/jJp2Rmy9qTIKAjqPe3zA3EvxmRKgP\nVqc2lREARBkIUieqDLXCzC8RkTbDLa3Ozk48/PDD+Mtf/oLc3Fy3H9Hf/e53muunp6fjmmuuAeD4\nMautrcUrr7yCSy65BDt27MCYMWMky48ePRrvvvuu23ba29uxb98+jB492vWY1WpFcXExampqMGvW\nLKMvKXR52edXKyMy6vlR2DVPPSskL3t+rndKGyM/8HKmSJNm8KuW+VV6XLXhIxgf3dkT7Udk5Y9+\nDFi9nYbK3wQ4AuBAZX536pQ4q5UwhiprhhVdpzUCej+VPQuCgIgchcaybJvf+jvwj297vx9/noVK\nI3vL+XuqHU+29pPaWsXHjQwi5jYdkjgZZ/Agip8oxpeLHDcS065K61vd+Z4YLXuW3YMTXxdtLTbE\nlcWhoaoBUQV9Wd7yT8vR09Sj3NdYsjHdl2GIOHi1JFgwo2OG8mevNpOUfDwDA5nfFKtK7a8BJkhv\nbpa9XYZt/6MxDZ6MkcEg9eYQVuPLdF4zt5wHnFCOjNUyykREg4nhVmhraytmzpyJkpISxMbGelz2\n7LR7926Ulpbi0ksvxdixY7Fs2TLU19cjIUE6smZSUhLOKfSHaWhogN1uR2JiouTxxMRExeXDiS+Z\nX+dUOGrkP9GTez+P1AjPM1F2m91vwW9XnUbQEYBYsnVH4PqmhkrwmzA1AZFWk27m126346OGBs1l\nvKGV+U25JMXv+/NVZJ4HA8gJKv82uK45SqFxKjttUs56uF0ZvVJnTxgpowzFXJM4+FUdY0Glzy9g\nvB/2kIVDMNM2E5MPTUbGt0Ql7R72+ZXf6Euc2vf719PSgzH/GIPC3xUi54d9c0JbEiyIzJGdu37s\n81u0pggjfjNCddtqNz3U3rvUi1ORe1suKj6rkK6vcXhzM7zvJmCCtJRZnCE3wsiNYXnwG2uw7NjI\n1HAvznF/LGFaAmJLYjE2Nlby+Ifjx+Pa9HR8Kz3d0P6JiMKZ4chm1apVftnhyJEjsX37dtTW1uKe\ne+7BbbfdBsDzH2Bvf7CrRQNOhKojh5WnzPlyr/LIvE41NTUwnTGh7Vyb23Pbd0qnT2lubna9Fz0m\noE426Uh3i6N2ymzzvKF88thJ2NvUP5+GOuWAquGM++Nb1yuPXLurZldAgt9AsvWERt2zbbUN5g4b\nzulkaKsC9F1paVevy2uKVR+sySjLxRZ0/8t/fbVb27Tfp8OHD+NktWNE7raz7t89o/bt34eD1Qfd\nHj8iG0XW7GPs+pWfxka4MzIS53buhN5ZcsLPYzF0d3b6fB1v7ez7TDs7pOWnzm3bm6UXmOOnjuOr\nakcZeNcB6U25/fv341D1Ie2disZDau397tXX17seO3j4II5VH1Ncde/uvbCk9P1c22+xA39y/Lvh\nVANqjtQA04BTNacU13c6dMj9GI+fOY666jrtY1dwctJJ2I72XdO2bNmiOdaD0+7du2G2qGQg5wEN\naACqgbZkx3epJaHF7fP2x+/4qZMnJX/XfFmjsqRMBIBO7zK/FoOZ4OMKg2fJvXQNMPf/pI/ZfmtD\ndXU1UmTfudj9+/ETANu3bDG0fwqcgdAGpfDD807KcPD73HPPqT5nMpmQmZmJ8vJyJCUl6W5LEASM\nGDECt912G+bOnYvJkydLGgEAcO7cOaSmprqtm5SUBJPJ5LZ8fX09iotVJr4Tqaio0F2mP1VXVyM3\nNxf7sd/tuZKRJfgCX6iuO3bcWETlRmFH8g6cgfTHs2xCGT7BJ66/4+LiUF5Rjg/wAf50I3BceqMY\nn/Vmh6KiItEB95FQtWSmZ6KntQfHcVzx+Z5Nyq33WGssGiGdOqlljnKgVFJYgi0YWD/kgk1w61vd\nHyqnVCL6449hN5uBdvXPNmv0aGCTsemTPJGQkoBzcFRpmKJNsLX1NQgzMjNwDMoBgFHnv3k+Poz6\nULVvuadi42LRBPWgPH9oPnIqHBm3nak7cRqOLgMQ4NENmqLiIqRUpOBDy4eS/u95+XnYh755P30N\nfhv8NLrvg1OmGFru3wcPAgcP+mWfABATFWX8Oq7Q3xcA4hPjHUEWgAhLBDpEN/+c2+5p7UEV+saR\nyB2ai/yKfADA6X2nsRM7Xc8VFhYitcL990rNZ7GfoRnNSEpMwldwBNQFBQXIqpBOr/MBHMdfOMJ9\n+9tmb8PZt84ixhSj+344tzO0YCi+hOMmau6yXHSd7ULxfcUwx5gly6mZsGECtkx1XHcrKirQnt6O\nT/EpAKC8olyz4se57ZFjRiKhQn8u+u5nu3F83XFkfz8b1iRHefNX//oK1hSrdH2Vz1hP7pAhAPpu\nBkyYMgEf4SPd9aadmoaWrS2w/VP9t1hNlNWKBp0xEQAgPiUFOKV9I6Mp3v2xyspKAEBCTQ0g6q8f\n6u2ewaK6upqfBQXdYD3vtAJ+w8Hviy++iBMnTqC5uRmpqakQBAF1dXWIi4tDQkICzp49C6vVijVr\n1mDixIlu6//73//Gk08+iZdfftn1mKm3BGjmzJn4+9//Llm+pqYG48aNc9tOZGQkioqKUFNTgym9\nja/Ozk7s3r0b3//+942+nNCmdnPYhz6/WiV1f7tWZR0AJgN94+TsNrtXfWXFA1q5qDT0a1cq9+UL\nZaFS9gw4ylX1yl+1BmTxhXgUXcEqAOJkqZ9qZAXBPzcaRj03Csce0w7GVedR9aLsGXCU12oN/vbN\nfwO/X+rhtsOI2R+jPRspe9YY7dnnyYaVBnPSuGYqXTtMMY6D6Gk1fjdEfK7GTYhD1g1ZissNf2g4\nEqcnugJdp/hKacQl+V0x+LEYLRm3JFqQ/5N8yWOp3zR+g8Hp0tRUvKEwcJtJEFC0tgh7f7AXgHQe\n5rK3ynD6/04jekQ08u7Mw/G1x7HvR44bUNYkK6JLor0aD8NoX14jo1h3RDrmdY4dFYsDPz0gec7X\n+buJiMKZ4cv3zTffjKlTp+I///kPPv74Y3z00Uf473//i5kzZ+KnP/0ptmzZgptvvhkPP/yw4vrl\n5eU4dOgQ1qxZg/b2dnz11Vd47LHHUF5ejiuvvBJnzpzBc889h46ODmzcuBGvv/46vvvd7wIAtm3b\nhtmzZ6OtzdFKvv766/Hss8/iyy+/RGtrKx555BFkZGRg2rRpfnhL+p9iEAjoNy40ntcKfhNVunVG\nm0zezT3Z412gpzoFkoKGD/3fFzXgQqPqGYBj1E+94PcrAxkKb7gFv5In/bUT/2wmekS014GO0UZ+\n3wq9/5O/JzIx3ldW9wt/n/b+GLJH7z0GtPv8ui/s4f6V+rNqXDKVrqeZ38kEAGTflO3Bjo0tlvfj\nPEQXRbs9Lh8ETG8OYUV+Hu8u1aJ+D/+GzEw8XlSkehipFzuCacEiSH7rUv4nBSP/OBJDVw6FyWJC\n7FhpaZQ52myo7FnOarDP7791RlkHAAjA6L+OxtCVQ1G0pgi5y3JdT4nPlqGRHoxZQEQ0CBjO/P72\nt7/Fm2++iVjRQApDhgzBvffei2uuuQZf//rXcfPNN+PJJ59UXD8zMxN//OMfsWrVKqxbtw5xcXGY\nPHky7r//fqSkpGDdunW4//778eCDDyIzMxM///nPcd555wEA2tracODAAdh674bOmTMHdXV1uOmm\nm9DY2Ijy8nKsW7cOVh9GfgwlanfyfZrqSOM3N0alS2OkyeTViMpHf3sUUcN05pZUEMjBpkgqwmSS\nzDmppFXh+aU5OXjsmG9lyeIGtNuIuv7iryDabGBbRuct1SPK/AZThCAYGvnbW/7OQvk786s61ZHg\nQfDrLdG+tcaxUKrqSb8qHVNPTUVEhvp0Ou4bUt630nKGXq8XI2D7e/Tv6spKFHz6qeJz5fHxqoOy\nmQQBUflRKH29FHFj4zT3kTjFMcBYwjRHubUpxhTQzK/etVlOPNAZ0HfDKdZkwpbeUmgiInIwHPw2\nNDTgxIkTKCwslDx++vRpnOwdOOLIkSOS4Fhu3LhxqnP3VlRUSEqixSZNmoQ9e6ST0S9evBiLFy82\nevgDiq01AJlfjcBZLfg1AV6nbdoPeNZPmPqMfGYkds/fHZBtj/6bY4qwXTqDXQFAU7f7oFGeBh5W\nQUCXvFEvnu5UNvKzuGFsijXB1mJDZH4kOg57OGiSv8qnTYLnGVznuh6WXjv3oxd0pMxOAaA/5HOc\n2YxmAyM735qbi18dcR9krzI+Hp819fV1jjWZMD0pCW+d9Wy4ab9nfv0QPEn6phr8iCQ3anyN5w1O\nOTTuP+NwfN1xpHxTeRR0jwJfGa1yaUEQVKt+ztt5HkxRjvdCMgK20c/Fz/e7hkZp32hVmwvYeRhp\nl/ZNQVX6WiksCe7NIlOkCdO+muZ63SarCZM2A/++2LNj3dcWnLKNYb3vyVXp6UgOk6QAEZG/GA5+\nr7rqKnz3u9/FJZdcgpycHFgsFhw/fhxvvPEGLrzwQnR2duI73/kOvv1tHyagJACe9eES02x8aDxl\nUmmd2hGYuXRJXcG9BW4ldv7kbLwZ8YO9e90eEyd6picmokpnKqQ4sxnn5EG0eHoXjbJnS7wFk05N\nQtv+Nnw27jODR927GX9ll0w686/Kib8uAcr8Fj1eBBzaqLu5IRER+OPIkThfZ4RXtfL3NFmj2Q7g\nkpQUvHX2LOI9mC80JDO/4lGJDRxeZG4k0q5MU1/Ay/7dkn0rXIeTv56M5K8ne7hxnf2aHPsST/Oj\nuKjKeR87KlZ5GT/3+fUHu92OFKsVvy0sREVcHKZ/0TdIldJ5lHaZ+mdsTZF+Hybv6H0j+1GP3a74\nOlYNH46hUVH4frYHJfFERIOE4eD3pz/9KfLz87F+/Xps3LgRNpsNKSkpmDt3Lm655RZERETgzjvv\nxOWXXx7I4x0UVDO/egTZ/8U0GuKdKsmDbrt3A1eR9wruLkDztuaAbd/Z8Lw1Jwe/86J8WdzQ0psn\nGFAJfkXcyp7FMYndDnOs2VD/TDf+zPxqzEust65nK/T+T+f1CiYBm8rL8dypUzjU0YF/1tWhJDoa\n6ydMQOaGDa7lbACmyeZDV3JVWhoeP+4+MrtSGe6N2dn4rKkJy/PydLcLAN02m2JW2Rf+SByaIvq2\nYmTavClHjI1sbZjCgFfeTt/n0W4FAQmTE9C4oVE36Ddy0ycU+vzKtU2fjuiqKsljt+bmui3n62FY\nIvs/+O2y2WBWuBGVaLHgzvx8hTWIiMhw8GsymbBgwQIsWLBAdZkrrrjCH8c06KlmfvXaRlqJX41s\niVbwy8xvn/y78nH4wcMAgAkfT8CWab5PtZT0jSTU/0c6bZetM4ANqt4W3xiN7glaxMFvu82G41Om\n4EhHB+7Yvx/rFbLAcWYzPhw/Hhvq6wEcdDxoMPPresibTJG/kksmz7Ll8nU94fyOjvrLKOxesBvt\nB3u7Dshfixk4LyEB5yUkoKq+Hv+sq8MjhYXIiJB+kY0GU7NSUlB//vlI+kh/mpdYsxl/HjXK0HYB\nYGtLi9/7E3vy7XittBTPnjoF5yS7lmQLus91Q7AKGPPKGETlRWHbJds8PwjZS4opifF8G/LtBONS\nKwClr5bi8IOHkb9SJzgykNwXB8iGqy0CmPj9RUEBogxWJZh8rCCITLYC8N984t7ostvh+egaRESD\nm2bw+8gjj2D58uUAoDqKs9NPfvIT/x3VIOdz5lfluZwlOTj2e/dsn2bm18c5RcNByVMlyJyfCZPF\n5Ap+TZEm5P9vPjpPdOLkn096ve2ADfikwhlIRmmMOrq2qAhPHD+OrS3ucyzLg9/syEhkR0biwwkT\nsKGhAVdt347TolGio0wmzEhKwvlxCVjvDH7Fx2Mkq+tNG9WPmV+tuUvl+xIHnB6PlN67m6SZSZh8\nYDI+ED5QPSan6UlJsF9wgeJynsRSiQoj5srX9yY2i/Dz4EaA47wz6rK0NFyWluaaY9Y5arJgEZB+\nZbpjIdELm3LCWIZX/DlPOjAJ0QXuIyNrUQwUg3SfMSItAoWrC3WXM5T59WI2gECWPcsHt9J6S329\n8o5+ZhTQ8LmPW/FNIAeqIyIKV5rX/+3bt7v+XVNTo/qfeDnynbfZVs077yag6LEiJH0jye2pDpWZ\nELqY+QUAROZFwmRxn+Jj+APDMeyBYa7HSp4q8XjbSsFffEW8wpLGmBN1sh69L0Mr+F2Uk4N4lelD\nJsT1jYoqn4tyamIixsdJR0117kd8booDB3H5qXy5vgdVD1WVX/v8eln27HU/0F5j/jEGUSOikHFd\nBiq39Y3YajTgiNT4jLN7s8Q/yslRXUb+zffmXYjzoG+wUR0ejoQr5pw/WW2058gsg9PCiNbxNPBV\n206wMr9aRr0wCgX3FjgWNfId8iaCDOD9Pk9utvia+U0a33edVrqervBD2fEvCgo0n+/y4btARDRY\naWZ+n376aQDArl27sGrVKuT29ps5cOAA/vCHP6ClpQXf+MY3WO7sZ8MfGI7qd6rdn/ChcaTVkOlR\naZ/agf7u0uQy7IFhaPy0EV+9ZmD+Qz+LzFdoEPe+Z+JGdFy59nQZSpSCX0EQkHxhMs69e87j7U3c\nMRENHzUg/rx47JyzE02fNUmed2Zd5BmSCrMZ1aKBj9SC46vS0nB7bi5+ffQoFg0Z4va8vEHpDMAE\ns6PvrL3TDtiB0X8fDXu3Hccfl/U1VZiKpT/LngWzoF/2rLIvT49b/h1NvyYd6dc4spMRaaLyDAPB\ng1UQ8LfRo1Wfz4qIwMHJkxWngUm3WnGmqwsxJhPeHzcOX9u6FQCQpDGfqhpPBsaSGxkTg90Ko5L7\nJfi1Kge/QaMw4FVQbjTqnJKZczMlfyfPSoYlxYIzfzujvDkvAshgZn61+BqDi691fxk5Etfu3Cl5\nPsYPN370zgi3kfSJiEiX7vX/ww8/xLe//W1XdretrQ0LFixATU0NYmNj8ctf/hJvvPFGwA90MPE6\n86fVptD4pG95Sv05fzbIcm93H3TEKFOUKaijhIpF5bn3qnIGvZKpPswCxv1nnEfbVhvZ15v3PfXy\nVETmRCJjTgaih0cj9dJU94V6zwP5XgtkjcZolUakIAhYXViIk1On4i6FzIZ8u5GiBmJMcV+/yIxv\nZSBzbqahPr8hX/asxsvRnnUX08j8OucRfaesDKVx6jdjBKgHCs6MfprViguSk3FlmmME3BQvpkzx\nJfOrFuR6E/w6K16UppMKxkBTctnfc4zCm7Ugq+/BAB7GiN+MAACkXKQ8ZZKace+Ow/AHh/v3YAJ4\nGfck8+uPUcOdciPdb5DGehCIby4vV3ycwS8Rkf/pXp2feOIJ3HnnnZg9ezYA4O2330btjyauAAAg\nAElEQVRzczNeeOEFrFq1CqtWrcKzzz4b8AMdbIb+bKjnK+n0+VVzmca9C2cfuYgh3s0nmTA5wfXv\n3KXeB7+CRYApJrj9Y53Mse4NeLXgN2q4wvAjGoet2ufVg77WQqSAkc+MxJiXxkifUIg7nI1/eZNJ\nftTyzO+Fyck4N22a6+/MiAjFrI/8pWqV3gIB7PPrLyb30myjvB3tWZfG4Ww/7zw8PHw4Zia5d2/Q\n29XK/HyUx8WhrbcCwDnV0dnePtwpXmR+tT7/UTHag0QdaleeK7zDiwb/uHfHYUbnDNdNJbWyZ8N8\njDmyb8zGtHPTkHl9X6bVq1HNDcpbnoeZtplezQvs75uOIZP59WPwO07hRpMnmd/KhATFx/WmCWPw\nS0TkOd1fit27d0vm7q2qqsLMmTMRH+/ITs6YMQN7FeYDJd8M+8UwWNNk82zq/dBpjfYsb3DI/vzn\nPpW+fzYgtjQWo55TH+G18otK1efK3i7r+8OXKjABMEV7H/yOe9+zjKweZ/ZNkoUzO/r/jVg9AkW/\nL0JcRW+DSONjUxvwylmemfQ17SAGAOwddmTdkOXeL1kpQ6jyFsozJuLMb8v06Xi7rAxJBjJ/8oBY\nsXxa9H64BZYhNtqzYBKkc8Lq8WGeX6OvUyvzWxITgzvy83XLUZUa/r8cPhzVlZV4ssTRd/3m3jlC\n52U6ArTveTFnqPg4rKJ/j42Nxb/LypRWcXm6RLkP/bXp6V4dh8lqcn2vxN+7sa+PVV1v4t6Jytc3\nP8Qc1iTH92nCJxOQPicdmd/J1FnDN173g/d3rBrAe5iRnvT59eN+Y8xmt24BMR4E4mr0ahx86VZA\nRDRYGbo6R4pKeqqrq1FZ2dcYsFgs/VI2NhhMOT4F5Z8ql0Mp0Wzc6LQJIuwa5bdm9YZ5/HnxiBun\n0ddVdIbJG+1xE4z3kbV32BGZ615aFjk0ElNPTdVdX6282FtqmV8AyLs9DzmLc5D89WQAjpGh065K\nU96OKNsjDu5do9J6MZqqa9sKn5kr8yv7zqYIAlbk5+ONsY5AQBy0xpjNhhvOt8oGUJJk/pQCW61s\nl/MQg5j5LfxdISbtn9T3gAmIHqY9oJHae+Np0N7TZizd70vmzHlTQ2sLN2Znw37BBSjqzcwuHDIE\nJ6dOxXeysjTW0relshKZvTdQpiQk6PYhviilr0T3Rzk5WD9+PD6vqMBjRUXeH4QzmhDFDIlT1edC\njimMUby++fM3L3FyIsa8OAbm6BANZPz8/QuZ0Z79PBK5eGsPDR8u6SaQr1AWfUOm/s0O53mm1FDb\nVF6OIQrbJSIibbrBb3Z2Nr788ksAjtGfT506halT+4KNAwcOIDk5OXBHOIiZrCbPRprVin31MkEq\nwS9sxhorwx8arjhvpGQeSNG/x/13HBKnKzc6Jx2Y5PaYrd2G/LvykXt7Lsa83Ffea4o0ISIjQrnc\nWCR2jHfz2qpxZX4Vgl8nW7ujpS1ECih5UjmLJV6//JO+Gx3O4NenbLnSur3f+BmyslgrgPuHD8cl\nqY5+wt4O1jIrJQVdM2a4snPy0Z8BqM7zO/IvI5XPU28SKD7EJpakvqBMMAnIusmDoM+HzK/h4MeH\nhNIPewcpU/xcNGRGeNftQazLZnN9vnb09U9WI35+UkICpiclYUJ8vEelrWr8fTOMPBAifX79nYB2\n7nnxkCH4SX4+hkb1/SYpXY4mqZQ6LxHdQBTf/5MH0OXx3s8KQEQ0mOle/y+++GLccccd+MMf/oA7\n7rgDFRUVKOgdfr+5uRmrV6/G9OnTA32cg5cnDQUfGhVq8a3dZnecJTrBRP5P8pF/l0LwK9qwuMGp\nlMV1isp3D2RtHTaYo8woXF2IqGF9z1tTHHfXJ+2bhIQpyo2Jkc+MhDXZ88F6tLgyvyaN4LfDEfya\nIkySEYPFA8iIgz9xhsk1Km2AMr8pVitsM2e6HrfKGo2+DFRkMZnwZEkJ/jpqFJaKM8EKL8UZ8AmR\nArK+m6WcHfYiQ+O6eeDxipAeg9lxEyrzBo0sjdrheXjYCZOUz1+3zfpwTvxi2DA8WVyMX48Y4fU2\nPLV34kQ8XlSE8fHxkkGO9c4w8YBE/gpUnBUY8ZXSwGHqmamYctzYHL+DjdffpX6gN8aAWKAyv853\nK08UrCq9g8N6g+OvyW5EficzE99KT8fLY8b0Bb+C4DZAlz8H7CIiGkx0RzD5wQ9+gIaGBvzzn/9E\nUVERVq5c6Xru17/+NWpra3HfffcF9CAHM72GvyXJgu767t6FfdiPWvumxxEwqZb5ibN4On1MxYGe\nYBb6prKJFGDvEG/IfTPOLCogDaItKY5TWBAE1aAgZpSjfLN8Uzk+n/i58uvwkGLmSNaadwW/USbJ\n8kkX9DV21AZTcpU9+5Ch0v08BAGXpKTgzbNnMUrWaPR1ftYEiwXXq5T1Seb57S31dn3+Si/XwFsw\n7P5hSL00FdaM3pscvkzRJdqf6waCN92OA1Xe6UMkGGM24xaFKaoCqTAmBoW9JdSuAMFu1228i/tv\n+itQGfXcKDRvbUbiZGnViWQqKSMGTjzoOw8G3+tvnly3zk9UL3f3hriqAXBcA/8xZgyGRUXh8poa\nt+VLYmJwbMoUpPeWR/933Di8WleHifHx+PsYR3XTxsZGAI6vfLLFggO96y7P9X7wSCKiwU43+DWb\nzZKAV2zRokVYsWIFrF5MgUEG6bX5ZMGMoXU82I0r82sgmFDMNJoFRI2IQmROpCTQEwe/5hgzuju6\n+55TaOhKgl9RUJd6Wd90PsMfHo4tU7e4/p64ZyI6jnQg4TxHRs35fz1jXhkDW7sNu67bpb6QQgAi\nDzadAZ0p0iQNjMWfmVpw26O8TbmCXxQgdqxySbfStuWf0UulpTjY3o7mXdLX6mvwq3xAvf8XD3il\nNYiZczkDwd7QFdLR0X2Zokty/pkUHjPI3uXfCCmuIg7N1c0+ZX77myTzq/OexorOQX+9YnO02S3w\n9cogCn79nvkNwOlbNX48Xqmrw2RZKbHakd8UEYER0dp9+Y24ICnJFbwqXN5wTW/3D/lx/LO0FMNl\n+/9acjK+JutC5ux3Pz0xEY8XF2PlgQN4rLAQWezrS0TkNc/nrhDJNDBgA/lI3FBQ+iUXVP7tIdXM\nis0RgBkKJpTiJQGYtLe3D69dZVkByLwhE6f+ckp102qZ3yEL+7JYiVMSEZEdgc4TnQAAa5pVMres\nEWNeGoP0K9PR9EWT5nKKgb4s2HRmfoVIaVZa0k9YbZ5fgwNeFfysQPU5cal134PSPyNNJpTExKBa\ntpjaPL/+5hb8+qns2dvMr91u9zzzq/bV6fIl/eyuYlMFbB0270ftDQHi7JheNlcIQObXbwZT8OvH\nud4dG/Tv5gDg/KQknK8wvZdaxZLvYa/D++PHu/4trmpwOw7RMs+PGoUr0pQHQJRbkJWFCEHAJamp\nSLFaXRlhIiLyXv9MnErGidp88eXxsKRapH1GxY1CI+1DlYaHSeHxIYIF9h67IwAw0GBRCtQEQej7\nT9w/1iRgyCJH4Fr8RDFGPaM+lRIAyWjJkkBS3ig2qfzboPSr0932oUT8/ORDk1H2Thki0qWlk8N+\nOQzRhdEoeapE2pAXBaVqox27+vz6UPasFPz2NBurYWztCU6tozlGesdEMbDz4i3wusEu7/PrfAtV\njiG2LNZ1zrjWd/6z27+tfMEkhO6IwAYpZceM0BsZmgInpjgGadekYdTz2tfogSQQ9y60zm3nY9/L\nzsZcD5IGZkHAd7OyJCNHExGRb9iiCHHiYMAca8b5decDAGrvqnU8KI5vfMn8Kjz2Dopxxr4TcePj\njAW/omONzI9Ex+EO9WXNAmLHxOIC+wWGji/1m33lzVqBqTzA9pbaPsZXjUdLTQvMsX1BSFR+lOIg\nXbGjY/uy3iLibKdq8Ksw2nPWjVmIKYlB1oIs7PneHuT9JE/7NSjMT9vTaCyobbH5N2sJiM4PrbJn\npbfDm1t0Qerze97W8yR/i7M+/g5+vbV74kSM3LSpvw8DALBq+HB8Z9cuw3MGD4+KQm17u1s5KwWP\nYBJQ+o9SP27Qf5sKJfI+v2K23utCmL50IqIBhcFvqNP7tRQ31H0oDRRkO7opKwvFmcmw/mAIcm/L\nReueVo+2N2nfJNjaNCIQHxJYWnNsSoJWH+oa1ILfpPOTkHS+e3mdJySZXwNlz+ftOA8NGxow5Ja+\nEu+xr43V34+1bz9l75Th2JpjSJ5lbFqy72Vn47W6OqwaPlx/YaOUxt/SCH6dn7NX/W393OfXG6ES\n/JbExKD+/PNDoszn+sxMXJeR4SpjXhIRgfHDhuGWPXsUl99YXo6Gnh5J/99QwLntB7ZABKFGqhoG\ncpcFIqJwweA31On8VuqNkgwAaVfr9y8yyVa2CAKsyVYUP14MAGjd3Rf8pn8rHWf+cQYA3KaAKf+0\nHNZ0K0xWkyT4ktMrKy79Zym2X7ld97jdiAeT8iHz6/d+biKScmSVQxSXPceOjkXsaM/nKRYH1ikX\npiDlwhTD66ZYrfi4vFx/QW+I3lpDZbzefIzeZn7tssy8cz5nbwLwEAl+ASAxhMqGxf13F0RGoiI7\nG/cdPIhDHe6VImkRETDWOzLIQuej7XfDfjkMHcfUq3ycRv5lJM6+fRYRWb7PGR2KjPb5JSKi/hUK\nyQDSovNr2dMqKmNVWHbYA8NQ+pJ+yZr8RLDIG/viYKJ3YUuSBblLpVMuJExKQPRw/eFElALTsW+M\nxcg/jwQApF2RhqI1RcorazQ8M+ZmuB2nV/xf9esiDvhUA3SDoz1r8aW/cEA4q57FUx3Felf2HDe+\nb05kt20AbudIzq057ssosauUziscl7jvvZKB3j+X1DnPv5RLjN9QCldDVw513STVkvXdLIz+6+iw\nzX5qvSqWPRMRhQ4GvyFOr6Fg79RJQaisLt+u/ET4Vnq65O/EGY6RlAsfK3Rt0zWnqjcU4oLUS1KR\nNT9L/aB6RWQ4MgeJ57tPWTLsF8Nc//Yp8+vv6T1EhAgBY14eg9zlubCmK7+H/hjwSq0/cb9ROBxL\ngjQjqXS+Kz02ZHFfCbi8362S7JuN9TF1KnunDCN+M8IxTRWAvDvyEJnbN71I5dZK5N+Zr7kN8SBt\nSvJXaq8/mFiDNLq4v8RPiMfE3RNR+rIf+8KS3wUzQe+srohWKNF3zdoWpoE/EdFAMrBaHIORym/l\nkB84Gv8xY2I0lzV6l10QtRLqzz/fbb5BS7wFU49PRe6S3L6g0oeWhZGMploG2RxrxvkN52P8B+Pd\nnvNXn99Alj0LgoD0q9JR+JtCJE51BPDZ35MGZ34JfkMt8+skemstSbJyXKWpvZTOa9GNjegR+pUG\nRkuQnVnplAtTkLe8b0CxmKIYTDkyRfk4FUi+lwriJ8Zj2L3DNJcZTP4hm8Jl2gAY4CqmJEYydzkN\nbi+NGYM56em4e+hQt+dY9kxEFDr4yx3qVH4tix8vxvTW6ZL+U75MEyPu86vbP9AZ+/oyqJCB4Ddh\nagIEi6A4qrElwaI/HZFG5nfinoma68aUxMAUZULendojKvsqekQ0zm88H8XrpGWDRuf51RKywa+I\nJdFAX1Slq5SHVy6/Z/LV3lrxVEda+5RPqTTIjYuLw99Hj3b9/fpY/QHdiNT8cIjj5vBM2dy/q4Y5\nbjjNCEAf+JGxsXhxzBikR7j3aWYXcSKi0MHgN9RpNJDN0Wbpr6qB/pLOUuHE6dKSYY+qsbydrFO8\nCQNBnSXOgpldMzHioRFe7kT9KefclWrM0WZMb52OEQ96uW8PWOItbjculKY68lTc+DhEZEfo9k3t\nT+Z42Qs0WL3g6U0Be7cdadekIarAfUoq6YLGtqdaUWHve14z28zgV1My5zUlH/y+qAgnp07FRFkF\nwV1Dh6JzxgyMCPLo4c6KEja4iIj6X+gMAUqKdMuWxQMzGQgchq4cioQpCUj+urSs2eRBIOuPsudg\ntAKU3rvpzdNdQUnpP0qxuWwzWmpaDK/vi/y78g1nIP1R9myOMWPq8aler+9vSvP8upU9K66o8JAX\n/blL/1EKu92OD00fqi9k9Jw2MAWZ3mcdrgP/EPU3QRCQqZCBBfqnf7nzZ5rfeSKi/sfgN9TpTXXU\nW3ocNyHO9cMq+YGVrW+KMCF1dqqnu1Fc2G9zqQaROVZ2xz+I9WjDVxnPwGZcm4FTfz2FhEmh3/fR\nMIWP3BxjxqjnRyGm2NFHVhLUukaJUdiWB+3XtKvTkDDR8T4G9bzrUX+K88QSDR7s80tEFDoY/IY6\nnV/LqKFRaEADYss8nwdWshsPfpV9yfyO/MtItOxQzrT2h1ANQoqfLMaQxUPCK/h1kr3lmdeJ5or2\nU9lz5vxMnHrmFCZsmIDEKe6jgvvMwPfFnKBRWhmapx0RBYCdUx0REYUMdkEJdTq/loW/LUTBvQUo\nfKTQp9141BZ3HpMXc+FmfTcrKP1ojcqYk6G/UD8wR5mRODkxrMrknNMNZVzv4XtucO5fsZFPj8Sk\n2kkeB77mOIN9AQ18LJqZfga/RIMGM79ERKGDmd8Qpxf8WFOsKLi7wOf9eBP8hmrW1BNDVw6FOcaM\n/T/e39+HEvaGLByCtGvSEJGm3BcPgOFAV6/Pr2AWED1Mfwoksfjz4pF1U5b+gtAf8ApwzEcdWxaL\nlm0KlQ4D/6vjd3xLKFxxnl8iotDBzG+oC9Jvpc2D/cSfFw8ASJ6VrLNk6BNMAqKLPAuSyHuaga+c\naORkNwG4chU9VgRzlP8yv4B6kB4ON46IyBhmfomIQkdQM7/Hjh3Dgw8+iM2bNwMAJk2ahBUrVuCl\nl17C2rVrJcva7XZkZGTgv//9r9t27rrrLrz66quwiObqs1gs2LJlS2BfQH/w9dfSYBs7ucfR6J+T\nnq677JDvDUFUQRSSZiTpLtsfKmsq0X22u78Pg7xhNPPrw/zHqjwJqNUSv86g1vk8by8axsCAwhX7\n/BIRhY6gBr+LFi1CSUkJ3nvvPXR0dOC2227D3XffjXXr1uGHP/yhZNnbbrsNubm5qtu64oor8OCD\nDwb6kPtfkH4tIyCge+ZMmA2UZQlmQXHE6FARVxrX34dAXlIc3ErpMS+mOtLfuR+X7X1e9TiZ+HXD\nt4TCFac6IiIKHUHLSzQ2NqK0tBR33HEH4uLikJqaimuvvdaVBRb75JNPsGXLFvzgBz8I1uGFrGD+\nWBoJfIkCyugpGIArlycBtdHvZdLXVaojGOkRDRqW3uuFwU4VREQUQEELfhMSErBq1SpkZvZNa3Li\nxAnJ34CjPOiBBx7Arbfeiuho9b6Ye/bswZw5c1BeXo4rr7wSn3/+ecCOfUBjPKuPgUjIsCT1FaNo\n9YsNSNmzPzO/vYbdNwxlb5ch9XJZpQTPOaJB4z/jxuFrSUlYplHNRkREwdFvoz3X1tZi7dq1uOee\neySPv/POO2hvb8dll12mum5eXh46Ojpw++23Izk5GU888QRuueUWvPvuu0hN1S7Hra6u9sfhB5T4\nGG1nbIqPa2k72+b699EjR3G6+rTuOocPHcbJ6pMeHGX46NrX5fr3QDg/AiUUXru9rC8q7OnpUT2m\nvfv2uv7tr+PetXsXzDZjuZnt27fDdM793mFbveO719bW1ndcqUBbc5t0udY2t+MOhfe/Pzhfd20X\nv4cUPME8xyIA/ArAoZoaHAraXikU8dpG/YHnnVS/BL81NTVYuHAhbrzxRrcg9+mnn8b8+fNhNqs3\nQhcvXiz5e9myZXjllVfw7rvvYu7cuZr7rqio8P7Ag6C6ulpyjB0nOvAJPgFg/Nh3puzEaTgC3ty8\nXORV5Kku+wE+AADkD81HTkWOl0c9sNUdrcN2bAcQ+udHoMjPu/6090d7cezRYzCbza5jcp6nTsUl\nxdiKrQA8/8zk23IaXToacWO1+4s71y0dW6o4lVJNYg2+wleIjo6WHNeOlB04gzOuv6OiolBRUSE5\nllB5/4NJfN7Vnj4N7NwJYHC+FxQ8oXS9o8GD5x31h8F63mkF/EEfi7SqqgoLFizAkiVLsGTJEslz\nx44dw7Zt2zBr1iyPtmk2m5GdnY3Tp/UznAOON9Wd4nVYXqnLFM0heQecQJTz+7HsWbdPML+XRERE\nREEX1Fb/1q1bsXz5cjz00EOYN2+e2/PvvfceiouLkZWVpboNu92OVatWYffu3a7HOjs7cfjwYeTl\nqWc4B6pgDXg1mEehTJ6VjNzluSjfWN7fh0KAsSA0EF1+/TDglb1LNtURGcb7AURERBRoQQt+u7u7\nsWLFCixdulQ1s7tz507F6Y22bduG2bNno62tDYIg4OjRo7j33ntx6tQptLS0YPXq1bBarbjooosC\n/TKCz8dGtN3GJqUewSSg8DeFSJiY0N+HQmLBPnX9kPlt2dkCAIgulJVEy5fn15KIiIgo6IIW/H7x\nxRfYt28fVq9ejbFjx0r+O3bsGACgrq4OaWlpbuu2tbXhwIEDsNkcgz/df//9KCgowNVXX42pU6di\n165deOaZZxAbGxuslxM8Pga/Hcc6/HMcRGFiwicTkH1LttvjHs0drLLo0P8dCgDI+7F2FYrWSNZE\nREREFBhBG/CqsrISe/bs0Vzm6aefVnx80qRJknWTkpKwatUqvx5fyPIx+O063aW/kB/2Q+QvkdmR\nAIDoIvWpznw5XxMnJyJxciJOPHVC+oQntwJV9j9k4RBkLciCKdKkvTxjXyIiIqKg67epjsgYX/vi\nDl813E9HQhQcOT/Kga3Dhqyb1Pv+B6SPuieJX439uwW+Shj8EhEREQUdg99Q50MbP7ooGlFDo/x3\nLERBYI42o+DugqDv1x9lz4bJgt+kC5J83ODAx/sBREREFGic4yXUsRyZyF2IT3XkqdLXS/27QSIi\nIiJyw+A31AUr+GWQTQNJP0915On+Bat0BfmAV4ZKpcMcL0FEREQUaGxxhbjBPP8uUVAF8GpoTbNK\nH2CNrxu+JURERBRoDH5DHWNfouDw04BXSiLSI6QPyCM9fs+JiIiIAo7Bb6jzpVHMVAqFqwFW9hyZ\nHyl9QPbdZIUHERERUeAx+A113rSJ2Y6mcCb0/1RHnn7HMuZmYMgPhiBmVAwA9z6/BJj7+wCIiIgo\n7DH4DXFBywgxYKaBIkDnaiAzvyarCcWPFyN+YrxftheOLktLw2WpqXi7rKy/D4WIiIjCFOf5DXVs\nFBNJCCYhMN8LD24F+nxTin1+3USaTHht7Nj+PgwiIiIKY8z8hjo2iomkTIAlOQD37YIwz68raGbV\nMxEREVHQMfMb6oJV9cwBd2igEIDYUbEo+VMJEqcm+m+zASx7dluPA14RERERBR0zvyGOjWIiKWeQ\nmr0gGzHFMV5vZ8w/xiBzfqZow54chJc7dSZ+OeAVERERUdAx+A11jH2JJExR/rlspV+TjlF/HuX6\n26PMr7dUMr9EREREFHgMfkMdg18il+T/SUbZOwEaDTgIV0NWchARERH1H/b5DXXBaiuzTU4DwLi3\nxgVu48H8DjDzS0RERBR0zPyGOG8yReZ4MwDAksR7G0RGseyZiIiIKLwxOgp1XrTHh/1yGGxtNhTc\nXeD3wyEKW8G4FcgBr4iIiIj6DYPfMBSRFoFRz4zSX5BogMi4PgM9zT0B3YcnVRZe991l5peIiIio\n3zD4DXXsi0uE0X8dHfidBHPAKwa/REREREHHPr8hLmijwzLIpsEuGN8Bfs+IiIiI+g2DXyIieDjg\nla9XTmZ+iYiIiIKOZc9ERIChrOzYf41F02dNsMR7eenkgFdERERE/YbBLzmwHJMGOSNdDFK/mYrU\nb6b6sJPe/zP2JSIiIgo6lj0TEQUJB7wiIiIi6j8MfomIgoWZXyIiIqJ+w+CXiChIEqYkAADSrkrr\n5yMhIiIiGnzY55eIKEgy5mYgalgU4ifE9/ehEBEREQ06DH6JaFArfLQQrXtag7IvQRCQODkxKPsi\nIiIiIikGvwPA5MOTYY4zB3QfRka6JQpHuUtz+/sQiIiIiCgIgtrn99ixY1i6dCkmT56MyZMn49Zb\nb8WpU6ewceNGlJSUYOzYsZL/3njjDcXt2O12PProo5g1axYqKytxww03YO/evcF8KUEVlRcFa7K1\nvw+DiIiIiIhowApq8Lto0SJERkbivffew5tvvon6+nrcfffdrudramok/1166aWK23n++efx8ssv\nY82aNVi/fj3Ky8uxcOFCdHR0BOulEBERERER0QAStOC3sbERpaWluOOOOxAXF4fU1FRce+212Lx5\ns8fbeuGFFzB//nyUlJQgJiYGixcvRlNTE6qqqgJw5IMEq56JiIiIiCiMBS34TUhIwKpVq5CZmel6\n7MSJE5K/f/zjH2Pq1KmYNm0a1q5dC5vN5rad9vZ27Nu3D6NHj3Y9ZrVaUVxcjJqamsC+CCIiPxIs\nvOtEREREFCz9NuBVbW0t1q5di3vuuQdxcXGYMGECLr30UqxatQrV1dVYsmQJEhMTMW/ePMl6DQ0N\nsNvtSEyUjpiamJiIc+fO6e63urrar68jEPrjGA8eOIhj1ceCvl8KHQPhuxFuYt+PBToH93s/mF87\n9R+ed9QfeN5Rf+B5J9UvwW9NTQ0WLlyIG2+8EZdddhkA4MUXX3Q9P3nyZMyZMwevvvqqW/DrZLfb\nvdp3RUWFV+sFS3V1dVCP8QN8AAAoGF6ArIqsoO2XQkuwzzsigOcd9Q+ed9QfeN5Rfxis551WwB/U\nAa8AoKqqCgsWLMCSJUuwZMkS1eVycnJw+vRpt8eTkpJgMplQX18veby+vh4pKSl+P14iIiIiIiIa\n+IIa/G7duhXLly/HQw89JMno/vvf/8bzzz8vWba2tha5ue7zb0ZGRqKoqEjSv7ezsxO7d+/G+PHj\nA3fwRERERERENGAFLfjt7u7GihUrsHTpUsyaNUvynNVqxUMPPYSPPvoIXV1d+Pjjj/HSSy/h+uuv\nBwBs27YNs2fPRltbGwDg+uuvx7PPPosvv/wSra2teOSRR5CRkYFp06YF6+UQEdFoov0AABTgSURB\nVBERERHRABK0Pr9ffPEF9u3bh9WrV2P16tWS59566y2sWLEC9913H06cOIG0tDSsWLECs2fPBgC0\ntbXhwIEDrtGf58yZg7q6Otx0001obGxEeXk51q1bB6vVGqyXQ0RERERERANI0ILfyspK7NmzR/X5\nOXPmYM6cOYrPTZo0yW3dxYsXY/HixX49RiIiIiIiIgpPQR/wikIUpxslIiIiIqIwxuCXiIiIiIiI\nwh6DXyIiIiIiIgp7DH4JACAIrHsmIiIiIqLwxeCXiIiIiIiIwh6DXyIiIiIiIgp7DH6JiIiIiIgo\n7DH4JQd2+SUiIiIiojDG4JeIiIiIiIjCHoNfIiIiIiIiCnsMfomIiIiIiCjsMfglIiIiIiKisMfg\nlxw44BUREREREYUxBr+D3KjnRyFmZAxSL0nt70MhIiIiIiIKGEt/HwD1r8zrMpF5XWZ/HwYRERER\nEVFAMfNLREREREREYY/BLxEREREREYU9Br9EREREREQU9hj8EhERERERUdhj8EtERERERERhj8Ev\nERERERERhT0Gv0RERERERBT2GPwSERERERFR2GPwS0RERERERGGPwS8RERERERGFPQa/RERERERE\nFPYY/BIREREREVHYY/BLREREREREYY/BLxEREREREYU9Br9EREREREQU9izB3NmxY8fw4IMPYvPm\nzQCASZMmYcWKFcjMzMTmzZvx61//Gl9++SUSEhJw8cUX47bbboPF4n6Id911F1599VXJcxaLBVu2\nbAnaayEiIiIiIqKBI6iZ30WLFiEyMhLvvfce3nzzTdTX1+Puu+/G8ePH8f3vfx8XX3wxNm7ciHXr\n1uG1117DM888o7qtK664AjU1Na7/GPgSERERERGRmqAFv42NjSgtLcUdd9yBuLg4pKam4tprr8Xm\nzZtRV1eHq6++GjfccAOsVitKSkrw9a9/3ZUhJiIiIiIiIvJF0MqeExISsGrVKsljJ06cQGZmJsrK\nylBWViZ57uTJk8jOzlbd3p49ezBnzhzs3bsX+fn5uPvuu1FeXh6QYyciIiIiIqKBLah9fsVqa2ux\ndu1a3HPPPW7PvfHGG9i8eTNeeeUVxXXz8vLQ0dGB22+/HcnJyXjiiSdwyy234N1330Vqaqrmfqur\nq/1x+AE1EI6Rwg/PO+oPPO+oP/C8o/7A8476A887KcFut9uDvdOamhosXLgQ8+bNw5IlSyTPvfTS\nS7j//vvxu9/9DtOnTze0vZ6eHsycORNLlizB3LlzVZerrq5GRUWFT8ceaAPhGCn88Lyj/sDzjvoD\nzzvqDzzvqD8M1vNO63UHPfNbVVWFZcuW4fbbb8e8efMkzz3++ON49tln8dRTT3lUwmw2m5GdnY3T\np0/7+3CJiIiIiIgoDAR1tOetW7di+fLleOihh9wC32effRYvvvgiXnjhBc3A1263Y9WqVdi9e7fr\nsc7OThw+fBh5eXkBO3YiIiIiIiIauIIW/HZ3d2PFihVYunQpZs2aJXnuyJEj+M1vfoO1a9eioKDA\nbd1t27Zh9uzZaGtrgyAIOHr0KO69916cOnUKLS0tWL16NaxWKy666KIgvRoiIiIiIiIaSIJW9vzF\nF19g3759WL16NVavXi15buHChWhra3PrrztkyBC8/fbbaGtrw4EDB2Cz2QAA999/Px566CFcffXV\naG5uRllZGZ555hnExsYG6+UQERERERHRABK04LeyshJ79uxRfV4+8JXYpEmTJOsmJSW5TZtERERE\nREREpCaofX6JiIiIiIiI+gODXyIiIiIiIgp7DH6JiIiIiIgo7DH4JSIiIiIiorDH4JeIiIiIiIjC\nHoNfIiIiIiIiCnsMfomIiIiIiCjsMfglIiIiIiKisMfgl4iIiIiIiMIeg18iIiIiIiIKewx+iYiI\niIiIKOwx+CUiIiIiIqKwx+CXiIiIiIiIwh6DXyIiIiIiIgp7DH6JiIiIiIgo7DH4JSIiIiIiorDH\n4JeIiIiIiIjCHoNfIiIiIiIiCnsMfomIiIiIiCjsMfglIiIiIiKisMfgl4iIiIiIiMIeg18iIiIi\nIiIKewx+iYiIiIiIKOwx+CUiIiIiIqKwx+CXiIiIiIiIwh6DXyIiIiIiIgp7DH6JiIiIiIgo7DH4\nJSIiIiIiorDH4JeIiIiIiIjCXlCD32PHjmHp0qWYPHkyJk+ejFtvvRWnTp0CAGzatAnXXnstysvL\nMXv2bLzwwguq27Hb7Xj00Ucxa9YsVFZW4oYbbsDevXuD9TKIiIiIiIhogAlq8Lto0SJERkbivffe\nw5tvvon6+nrcfffdOHPmDBYtWoQrr7wSGzZswAMPPIDVq1dj/fr1itt5/vnn8fLLL2PNmjVYv349\nysvLsXDhQnR0dATz5RAREREREdEAEbTgt7GxEaWlpbjjjjsQFxeH1NRUXHvttdi8eTNee+015OTk\nYN68eYiKikJ5eTmuuOIKvPjii4rbeuGFFzB//nyUlJQgJiYGixcvRlNTE6qqqoL1coiIiIiIiGgA\nCVrwm5CQgFWrViEzM9P12IkTJ5CZmYkdO3ZgzJgxkuVHjx6Nmpoat+20t7dj3759GD16tOsxq9WK\n4uJixeWJiIiIiIiI+m3Aq9raWqxduxY//OEPUV9fj4SEBMnzSUlJOHfunNt6DQ0NsNvtSExMlDye\nmJiouDwRERERERGRpT92WlNTg4ULF+LGG2/EZZddhldeeQV2u92jbXi6vFN1dbVX6wXTQDhGCj88\n76g/8Lyj/sDzjvoDzzvqDzzvpIIe/FZVVWHZsmW4/fbbMW/ePABAcnIy6uvrJcudO3cOqampbusn\nJSXBZDK5LV9fX4/i4mLNfVdUVPh49ERERERERDQQBbXseevWrVi+fDkeeughV+ALAGPHjsX27dsl\ny9bU1GDcuHFu24iMjERRUZGkf29nZyd2796N8ePHB+7giYiIiIiIaMAKWvDb3d2NFStWYOnSpZg1\na5bkucsvvxxnzpzBc889h46ODmz8//buNqat8g0D+MWftbCIILDIgOI2okx5EaiYwTC6oYvbgq6g\nMKBuKomKDUTR1UyDIovbYJMYX6tGl02D3SAuMkTwg0Mci1SK2WDgkAkRUcowG5QJa4s9/w+GZpW3\nAeur1y/hQ5/znPZ5yJU7uXtOW40GNTU12LZtGwCgra0NGzduxPj4OABALpfj008/xc8//4yxsTG8\n8cYbuPHGG5GcnGyv7RAREREREZEL8RAW+uHZedJqtZDL5RCLxVOO1dfXQ6fTYffu3eju7kZQUBDy\n8/Mhk8kAABqNBtu3b8ePP/6I6667DgDw7rvvQq1WQ6/XQyqVoqSkBCtWrLDHVoiIiIiIiMjF2K35\nJSIiIiIiInIUh/3UEREREREREZG9sPklIiIiIiIit8fm10kMDAwgLy8Pa9aswT333INdu3bBaDQ6\nelnk4lavXo3o6GjExMRY/oqLiwEAP/zwAzIzMyGVSrFx40ao1WqrcysqKrBp0yZIpVJkZmZCq9U6\nYgvkIrq6upCamoqUlBSr8cXkzGg0oqSkBOvWrcOaNWuQl5cHnU5nl/2Qa5gudxqNBqtXr7aqezEx\nMfjyyy8tc5g7Wqjff/8dBQUFSExMRGJiIp555hkMDg4CYL0j25kpd6x3CyCQU0hPTxd27twpjIyM\nCP39/YJMJhP279/v6GWRi4uIiBCam5unjJ8/f16Ij48XKioqhPHxcaG1tVWQSqVCY2OjIAiC0NDQ\nIEilUqGlpUW4fPmyoFarBalUKgwNDdl7C+QCamtrhbvuuktQKBTC+vXrLeOLzVlpaamwZcsWoa+v\nT9Dr9cLOnTuFjIwMh+yRnM9MuWtubhYiIiJmPI+5o8VITU0Vnn/+eWF0dFT4888/he3btwtPPvkk\n6x3Z1Ey5Y72bP175dQLt7e3o7OyEUqmEr68vQkND8dRTT6GyshJms9nRyyM3dOzYMYSGhiInJwfe\n3t6QSqXYsmULDh8+DABQq9VIS0tDQkICvLy8kJWVheDgYKt3EokmjY2N4ciRI0hKSrIaX0zOJiYm\nUFVVBYVCgbCwMFx//fVQKpVoa2vDTz/95IhtkpOZKXdzYe5oofR6PaKjo6FUKuHj44PAwEBkZmai\npaWF9Y5sZrbczYW5m4rNrxPo6OhAcHAwAgICLGNRUVEYGRlBX1+fA1dG7uDQoUO49957cccdd+CF\nF16AXq9HR0cHoqKirOZFRkaivb0dwD+ZjIyMnPE40ZUefvhhhISETBlfTM76+vowOjpqdTwgIADL\nly9nDgnAzLmbtGPHDqxduxbJyclQqVSWN5OZO1ooX19f7N27F0FBQZaxgYEBBAUFsd6RzcyWu0ms\nd1ePza8TGB4ehq+vr9WYn58fAODixYuOWBK5idjYWCQkJKC2thZHjx5FV1cXXnnllWkzd8MNN1jy\nNlMmh4eH7bZ2cn2Lydlk1iZr4ZXHWRdpNj4+PoiPj0dqaioaGxtRXl6Ojz/+2HIFjrmja6Wnpwcq\nlQoKhYL1juzmytyx3s0fm18nIfDnlskGKisrkZubC29vb6xYsQLPPfcc6uvrIQgCM0d2sdicMac0\nX1FRUTh8+DDWrVsHkUiExMREbN26FdXV1Vf9HMwdzaW9vR2PPPIIHn/8cTzwwAMAWO/I9v6dO9a7\n+WPz6wQCAgKmXFGbfBwYGOiIJZGbkkgkEARh2sxdvHjRkjd/f/8p7/oNDw9b3ZpPNBd/f/8F52wy\na9PVRuaQ5is0NBTnz58HwNzR4p04cQKPPfYY8vPzkZ+fD4D1jmxvutxNh/Vudmx+nUB0dDQGBwcx\nNDRkGWtra0NgYCDCwsIcuDJyZZ2dnSgtLbUa++WXXyASiXDbbbfhzJkzVsfa29sRGxsL4J9M/vt4\nW1sb4uLibLtocisxMTELzllYWBj8/Pysjg8ODkKn0zGHNKu6ujp89tlnVmM9PT2QSCQAmDtanNOn\nT6OwsBBlZWXIycmxjLPekS3NlDvWu/lj8+sEIiMjERcXh/3792N0dBS//fYbVCoV5HI5PDw8HL08\nclGBgYE4cuQIPvzwQxiNRvT29uLNN99EZmYm0tPTMTQ0hIqKChgMBmg0GtTU1GDbtm0AALlcjmPH\njkGr1cJgMODgwYMYGRlBamqqg3dFruTBBx9ccM48PT2RlZUFlUqF/v5+6PV67Nu3D4mJibjlllsc\nvDNyZiKRCGVlZWhqaoLJZMLJkyfx+eefQy6XA2DuaOEmJibw0ksvoaCgAPfdd5/VMdY7spXZcsd6\nN38ewn/tRm8nNTg4iOLiYjQ3N8Pb2xtpaWnYsWMHPD09Hb00cmEtLS0oLy9HV1cXxGIx0tLSUFhY\nCC8vL7S2tmL37t3o7u5GUFAQ8vPzIZPJLOdWVlbi/fffx9DQEG699Va8/PLLuP322x24G3JW999/\nP/744w+YzWZMTExALBYDAOrr66HT6RacM5PJhLKyMtTU1MBoNCI5ORm7du1y69ux6OrNlrumpiYc\nOHAAAwMDWLZsGZ5++mlkZGRYzmXuaCG0Wi3kcrkla1divSNbmSt3rHfzw+aXiIiIiIiI3B5veyYi\nIiIiIiK3x+aXiIiIiIiI3B6bXyIiIiIiInJ7bH6JiIiIiIjI7bH5JSIiIiIiIrfH5peIiIiIiIjc\nHptfIiIiJ/Xee+8hKyvLbq936dIlbNiwAd9+++2McwwGAzZv3oy6ujq7rYuIiOha4O/8EhEROUBR\nURGqq6sBAIIgwGQyQSwWW44fOHAAd955p13XpFQqIRKJsGfPnlnnnTlzBrm5uaipqUFQUJCdVkdE\nRLQ4bH6JiIgcrKGhAXl5eejq6nLYGs6dOweZTIa6ujqEhYXNOT8vLw8SiQRFRUV2WB0REdHi8bZn\nIiIiJ/X2228jPT0dAKDRaBAXF4fjx48jJSUF8fHx2Lt3L86ePQuZTIa4uDgoFAoYjUYAgNlsxjvv\nvIMNGzYgNjYWMpkM33///YyvpVarkZSUZGl8x8fH8eKLLyIpKQnx8fFIT0+3Oj8rKwtVVVUwGAw2\n/A8QERFdO2x+iYiIXMTly5fR1NSE2tpa7NmzBwcPHsTrr7+Ojz76CEePHsV3332HhoYGAMAnn3yC\n6upqfPDBB9BqtcjOzoZCocDw8PC0z33y5EkkJiZaHh86dAgdHR2ora21nK9UKjExMQEASEhIgMlk\nwqlTp2y/cSIiomuAzS8REZGLEAQB2dnZWLp0KVJSUgAAKSkpWLZsGcLDw7Fy5Ur8+uuvAICqqio8\n+uijCA8Ph0gkwtatWyGRSFBfXz/leU0mE3p7exEREWEZ0+v1WLJkCZYuXQpPT09kZGTgxIkTWLJk\nCQDAx8cHy5cvR3d3tx12TkREtHhsfomIiFxIcHAwAMDLywsArL5wSiwWW25D7uvrQ2lpKWJiYix/\nvb29GBgYmPKcIyMjAAA/Pz/LWE5ODv766y/cfffdePbZZ/HFF19YrvpO8vf3x4ULF67tBomIiGxk\niaMXQERERFfPw8PD6vH//jf9+9je3t4oKSnB5s2bF/TcEokEX331FTQaDY4fP459+/ZBrVajoqLC\ncvXXw8MD/N5MIiJyFbzyS0RE5IZuuummKd8e3d/fP+3cySu+V34eeGxsDCaTCWvXrkVRURGqqqpw\n6tQpnD171jLnwoULCAgIsMHqiYiIrj02v0RERG4oOzsbarUaWq0Wf//9N7755hukpqaip6dnylyR\nSIRVq1ZZfX63oKAAxcXF0Ov1MJvNOH36NEQiEUJCQgAAly5dgk6ns/qcMBERkTPjbc9ERERu6KGH\nHoJOp0NhYSH0ej1WrlyJ8vJyhIeHTzs/OTkZzc3NyM3NBQC89tprKC4uxvr162E2m7Fq1Sq89dZb\nliu9ra2tEIlEiIuLs9ueiIiIFsND4Id1iIiI/vPOnTsHmUyGr7/+GqGhoXPOVygUCAkJQVFRkR1W\nR0REtHi87ZmIiIhw8803Y9OmTVCpVHPO7ezshFarxRNPPGGHlREREV0bbH6JiIgIAFBcXAyNRoPG\nxsYZ5xgMBiiVSrz66qtWP7NERETk7HjbMxEREREREbk9XvklIiIiIiIit8fml4iIiIiIiNwem18i\nIiIiIiJye2x+iYiIiIiIyO2x+SUiIiIiIiK3x+aXiIiIiIiI3N7/Acr2F+RoajArAAAAAElFTkSu\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae5307c710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_signal(X, n):\n",
    "    plt.figure(figsize=(16, 6))\n",
    "    t_current = 0\n",
    "    for i in range(n):\n",
    "        mu, std, t = X[i]\n",
    "        chunk = numpy.random.normal(mu, std, int(t))\n",
    "        plt.plot(numpy.arange(t_current, t_current+t), chunk, c='cm'[i % 2])\n",
    "        t_current += t\n",
    "    \n",
    "    plt.xticks(fontsize=14)\n",
    "    plt.yticks(fontsize=14)\n",
    "    plt.xlabel(\"Time (s)\", fontsize=14)\n",
    "    plt.ylabel(\"Signal\", fontsize=14)\n",
    "    plt.ylim(20, 40)\n",
    "    plt.show()\n",
    "\n",
    "def create_signal(n):\n",
    "    X, y = [], []\n",
    "    for i in range(n):\n",
    "        mu = numpy.random.normal(30.0, 0.4)\n",
    "        std = numpy.random.lognormal(-0.1, 0.4)\n",
    "        t = int(numpy.random.exponential(50)) + 1\n",
    "        X.append([mu, std, int(t)])\n",
    "        y.append(0)\n",
    "\n",
    "        mu = numpy.random.normal(30.5, 0.8)\n",
    "        std = numpy.random.lognormal(-0.3, 0.6)\n",
    "        t = int(numpy.random.exponential(200)) + 1\n",
    "        X.append([mu, std, int(t)])\n",
    "        y.append(1)\n",
    "    \n",
    "    return numpy.array(X), numpy.array(y)\n",
    "\n",
    "X_train, y_train = create_signal(1000)\n",
    "X_test, y_test = create_signal(250)\n",
    "plot_signal(X_train, 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can start by modeling each variable as Gaussians, like before, and see what accuracy we get."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gaussian Naive Bayes:  0.798\n",
      "sklearn Gaussian Naive Bayes:  0.798\n"
     ]
    }
   ],
   "source": [
    "model = NaiveBayes.from_samples(NormalDistribution, X_train, y_train)\n",
    "print \"Gaussian Naive Bayes: \", (model.predict(X_test) == y_test).mean()\n",
    "\n",
    "clf = GaussianNB().fit(X_train, y_train)\n",
    "print \"sklearn Gaussian Naive Bayes: \", (clf.predict(X_test) == y_test).mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We get identical values for sklearn and for pomegranate, which is good. However, let's take a look at the data itself to see whether a Gaussian distribution is the appropriate distribution for the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzMAAAEHCAYAAACa3xgkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBBAo9gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52d6b590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14, 4))\n",
    "plt.subplot(131)\n",
    "plt.title(\"Mean\")\n",
    "plt.hist(X_train[y_train == 0, 0], color='c', alpha=0.5, bins=25)\n",
    "plt.hist(X_train[y_train == 1, 0], color='m', alpha=0.5, bins=25)\n",
    "\n",
    "plt.subplot(132)\n",
    "plt.title(\"Standard Deviation\")\n",
    "plt.hist(X_train[y_train == 0, 1], color='c', alpha=0.5, bins=25)\n",
    "plt.hist(X_train[y_train == 1, 1], color='m', alpha=0.5, bins=25)\n",
    "\n",
    "plt.subplot(133)\n",
    "plt.title(\"Duration\")\n",
    "plt.hist(X_train[y_train == 0, 2], color='c', alpha=0.5, bins=25)\n",
    "plt.hist(X_train[y_train == 1, 2], color='m', alpha=0.5, bins=25)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, unsurprisingly (since you can see that I used non-Gaussian distributions to generate the data originally), it looks like only the mean follows a normal distribution, whereas the standard deviation seems to follow either a gamma or a log-normal distribution. We can take advantage of that by explicitly using these distributions instead of approximating them as normal distributions. pomegranate is flexible enough to allow for this, whereas sklearn currently is not."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gaussian Naive Bayes:  0.798\n",
      "sklearn Gaussian Naive Bayes:  0.798\n",
      "Heterogeneous Naive Bayes:  0.844\n"
     ]
    }
   ],
   "source": [
    "model = NaiveBayes.from_samples(NormalDistribution, X_train, y_train)\n",
    "print \"Gaussian Naive Bayes: \", (model.predict(X_test) == y_test).mean()\n",
    "\n",
    "clf = GaussianNB().fit(X_train, y_train)\n",
    "print \"sklearn Gaussian Naive Bayes: \", (clf.predict(X_test) == y_test).mean()\n",
    "\n",
    "model = NaiveBayes.from_samples([NormalDistribution, LogNormalDistribution, ExponentialDistribution], X_train, y_train)\n",
    "print \"Heterogeneous Naive Bayes: \", (model.predict(X_test) == y_test).mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks like we're able to get a small improvement in accuracy just by using appropriate distributions for the features, without any type of data transformation or filtering. This certainly seems worthwhile if you can determine what the appropriate underlying distribution is.\n",
    "\n",
    "Next, there's obviously the issue of speed. Let's compare the speed of the pomegranate implementation and the sklearn implementation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100 loops, best of 3: 2.45 ms per loop\n",
      "1000 loops, best of 3: 2.03 ms per loop\n",
      "100 loops, best of 3: 1.99 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%timeit GaussianNB().fit(X_train, y_train)\n",
    "%timeit NaiveBayes.from_samples(NormalDistribution, X_train, y_train)\n",
    "%timeit NaiveBayes.from_samples([NormalDistribution, LogNormalDistribution, ExponentialDistribution], X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks as if on this small dataset they're all taking approximately the same time. This is pretty much expected, as the fitting step is fairly simple and both implementations use C-level numerics for the calculations. We can give a more thorough treatment of the speed comparison on larger datasets. Let's look at the average time it takes to fit a model to data of increasing dimensionality across 25 runs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pom_time, skl_time = [], []\n",
    "\n",
    "n1, n2 = 15000, 60000,\n",
    "for d in range(1, 101, 5): \n",
    "    X = numpy.concatenate([numpy.random.normal(3, 2, size=(n1, d)), numpy.random.normal(7, 1, size=(n2, d))])\n",
    "    y = numpy.concatenate([numpy.zeros(n1), numpy.ones(n2)])\n",
    "\n",
    "    tic = time.time()\n",
    "    for i in range(25):\n",
    "        GaussianNB().fit(X, y)\n",
    "    skl_time.append((time.time() - tic) / 25)\n",
    "    \n",
    "    tic = time.time()\n",
    "    for i in range(25):\n",
    "        NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "    pom_time.append((time.time() - tic) / 25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1EAAAGBCAYAAACHJDusAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52d6bb50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14, 6))\n",
    "plt.plot(range(1, 101, 5), pom_time, color='c', label=\"pomegranate\")\n",
    "plt.plot(range(1, 101, 5), skl_time, color='m', label=\"sklearn\")\n",
    "plt.xticks(fontsize=14)\n",
    "plt.xlabel(\"Number of Dimensions\", fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.ylabel(\"Time (s)\")\n",
    "plt.legend(fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It appears as if the two implementations are basically the same speed. This is unsurprising given the simplicity of the calculations, and as mentioned before, the low level implementation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bayes Classifiers\n",
    "\n",
    "The natural generalization of the naive Bayes classifier is to allow any multivariate function take the place of $P(D|M)$ instead of it being the product of several univariate probability distributions. One immediate difference is that now instead of creating a Gaussian model with effectively a diagonal covariance matrix, you can now create one with a full covariance matrix. Let's see an example of that at work."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABBIAAAHWCAYAAADKGarDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52e56d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tilt_a = [[-2, 0.5], [5, 2]]\n",
    "tilt_b = [[-1, 1.5], [3, 3]]\n",
    "\n",
    "X = numpy.concatenate((numpy.random.normal(4, 1, size=(250, 2)).dot(tilt_a), numpy.random.normal(3, 1, size=(800, 2)).dot(tilt_b)))\n",
    "y = numpy.concatenate((numpy.zeros(250), numpy.ones(800)))\n",
    "\n",
    "model_a = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "model_b = BayesClassifier.from_samples(MultivariateGaussianDistribution, X, y)\n",
    "\n",
    "xx, yy = np.meshgrid(np.arange(-5, 30, 0.02), np.arange(0, 25, 0.02))\n",
    "Z1 = model_a.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "Z2 = model_b.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "\n",
    "plt.figure(figsize=(18, 8))\n",
    "plt.subplot(121)\n",
    "plt.contour(xx, yy, Z1)\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='c', alpha=0.3)\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='m', alpha=0.3)\n",
    "plt.xlim(-5, 30)\n",
    "plt.ylim(0, 25)\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.contour(xx, yy, Z2)\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='c', alpha=0.3)\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='m', alpha=0.3)\n",
    "plt.xlim(-5, 30)\n",
    "plt.ylim(0, 25)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks like we are able to get a better boundary between the two blobs of data. The primary for this is because the data don't form spherical clusters, like you assume when you force a diagonal covariance matrix, but are tilted ellipsoids, that can be better modeled by a full covariance matrix. We can quantify this quickly by looking at performance on the training data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "naive training accuracy: 0.9286\n",
      "bayes classifier training accuracy: 0.9657\n"
     ]
    }
   ],
   "source": [
    "print \"naive training accuracy: {:4.4}\".format((model_a.predict(X) == y).mean())\n",
    "print \"bayes classifier training accuracy: {:4.4}\".format((model_b.predict(X) == y).mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like there is a significant boost. Naturally you'd want to evaluate the performance of the model on separate validation data, but for the purposes of demonstrating the effect of a full covariance matrix this should be sufficient.\n",
    "\n",
    "While using a full covariance matrix is certainly more complicated than using only the diagonal, there is no reason that the $P(D|M)$ has to even be a single simple distribution versus a full probabilistic model. After all, all probabilistic models, including general mixtures, hidden Markov models, and Bayesian networks, can calculate $P(D|M)$. Let's take a look at an example of using a mixture model instead of a single gaussian distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABBcAAAHWCAYAAAAsMGGHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmMpUd5L/5v1buec3qb6fbMeDbPeGawsfESOyZAABvI\ndeBeHMUhihW4KJFJZCHk4BAgSIEEEUVEJooUIgxGLILoijgh8MvvInIBi83kYseewcb7jMdue9ae\n7unlbO9aVfeP6vP26e7pvXt6+34ii7i3U+d0u+vpp556HmGMMSAiIiIiIiIiWiS52gsgIiIiIiIi\novWNyQUiIiIiIiIiWhImF4iIiIiIiIhoSZhcICIiIiIiIqIlYXKBiIiIiIiIiJaEyQUiIiIiIiIi\nWhJ3Ph9077334vDhw8jzHHfddRd++MMf4umnn0ZPTw8A4H3vex9uueWWlVwnERERbXKMR4iIiNau\nOZMLDz/8MI4dO4YHHngAIyMjuP322/G6170OH/rQh/CWt7zlYqyRiIiINjnGI0RERGvbnMmFm266\nCddeey0AoKurC1EUQSm14gsjIiIiamE8QkREtLYJY4yZ7wc/8MADeOyxx+A4DgYHB5FlGXp7e/GJ\nT3wCW7duXcl1EhEREQFgPEJERLQWzTu58OCDD+L+++/HV77yFTz11FPo6enBq1/9anzxi1/E2bNn\n8Zd/+Zczfu7hw4eXbcFEREQbzY033rjaS1g3GI8QERGtjCXHI2YefvrTn5p3vetdZmRkZNr7jh07\nZt7znvfM+vmPPfbYfB5mSS7GY6yG9fa8hoeHzfve9z6zbds2A8AAML7vm9tvv91EUVR83Hp7XvPF\n57W+8HmtL3xexHhk9fB5LY+/+qu/MgCM53nmX/7lX2b8uP379xsA5p3vfOeiHoffr/WFz2t94fOa\n2ZyjKGu1Gu69917cf//9RTfmu+++GydOnAAAPPLIIzh06NDSMhy07p07dw5/8Ad/gAMHDuDLX/4y\nzp07h+7ubvzZn/0Z6vU6vvWtbyEMw9VeJhERrVOMR2gj+OQnP4nrrrsOWZbhrrvuQhzH0z7moYce\nwksvvQQA+OpXv3qxl0hEtGhzNnT87ne/i5GREdxzzz3F237nd34H99xzD0qlEsrlMj796U+v6CJp\n7Tp58iT+6I/+CD/+8Y+RJAkAoK+vD3/8x3+MT33qU3DdeU07JSIimhXjEdooDh8+jJ6eHoyMjODa\na6/Fo48+iu7u7uL9H/jABwAAhw4dQl9f32otk4howeb8y++OO+7AHXfcMe3tt99++4osiNY+pRS+\n9rWv4bOf/SyeeeYZZFkGANizZw/uvPNOfOITn4DjOKu8SiIi2kgYj9BG4TgOvvOd7+Dtb387jh07\nhptvvhk///nPUSqV8LGPfQxPPvkkAOBLX/rSKq+UiGhheKxM86aUwpe//GX83d/9HY4dO1a8fd++\nfbjvvvvwjne8YxVXR0RERLQ+3Hzzzfj3f/933HbbbXjiiSewbds2pGmKNE0BAHfeeSfe/OY3r/Iq\niYgWZs6eC0QnTpzAHXfcgR07duCuu+7CsWPHEAQBbr31Vhw7dgwvvfQSEwtEREREC3DrrbfioYce\nQl9fH+r1OtI0hed5+Ou//mt8+ctfXu3lEREtGCsXaEbHjh3D7//+7+OJJ55AnucAgEqlgptvvhn3\n338/du/evcorJCIiIlq/Xvva12JwcBDHjx/HN77xDXzkIx9BEASrvSwiokVhcoEm0VrjC1/4Aj73\nuc/h6NGjRVJh3759uOeee/Anf/InEEKs8iqJiIiINo4DBw7g4x//+Govg4hoSZhcIABAf38/PvKR\nj+BHP/oRzp8/DwAQQuCaa67Bt7/9bRw4cGCVV0hERERERERrFZMLm5jWGvfffz8+//nP47nnnium\nPlQqFdxyyy247777sHfv3lVeJREREREREa11TC5sQidOnMCHP/xh/PCHP8TQ0FDx9ssvvxx33303\nPvjBD/LqAxEREREREc0bkwubhFIKX/va1/DZz34WzzzzTFGlUCqVcMstt+Bzn/sc9u/fv8qrJCIi\nIiIiovWIyYUN7syZM/jwhz+MH/zgBxgcHCzevm/fPrz//e/HRz7yEVYpEBERERER0ZIwubABaa3x\nwAMP4DOf+QyeeuqpSVUKb3rTm/D5z38el19++SqvkoiIiIiIiDYKJhc2CK01zp49i4997GP4/ve/\nj4GBgeJ9e/fuxQc+8AFWKRAREREREdGKYHJhnatWq/joRz+K73znOzhz5gy01gCAMAzxhje8Af/4\nj/+Iq666apVXSURERERERBsZkwvrULPZxBe+8AX867/+K5544glEUQQAcF0Xu3btwl133YWPfexj\ncBxnlVdKREREREREmwGTC+uEMQYPPfQQPvGJT+Dw4cNoNBrF+3bs2IH3vve9+Ju/+Rt4nreKqyQi\nIiIiIqLNiMmFNW5wcBC33norjhw5guHhYRhjAAB9fX245ppr8KlPfQpvfOMbV3mVREREREREtJkx\nubAGPffcc/jkJz+Jw4cP48UXXyz6KPi+j6uuugqf/vSn8fa3v32VV0lERERERERkMbmwRpw6dQof\n+tCH8J//+Z84e/YslFIAACEErr76anzyk5/E7/7u767yKomIiIiIiIimY3JhlWitcerUKXz84x/H\nT3/6U5w8eRJ5ngMApJQ4dOgQbrvtNtx222245ZZbVnexRERERERERLNgcuEiajVl/PznP4+HHnoI\np0+fLnooCCGwb98+/Omf/ine//73F40ZDx8+vJpLJiIiIiIiIpoTkwsrTCmFL37xi/j2t7+NZ555\nZlJCwfM8XHrppXjf+96HD37wg+ju7l7l1RIREREREREtHJMLK0Brjfvuuw//9E//hKNHj2J0dLR4\nn+u6uOqqq/Cbv/mbHB1JREREREREGwKTC8vkJz/5Cb72ta/h4YcfxokTJ1Cv14v3dXZ24vrrr8e7\n3/1uvPe970WlUlnFlRIREREREREtLyYXFilJEvzbv/0bvvGNb+CJJ57AyZMni+sOgE0ovOlNb8Ld\nd9/NsZFERERERES0oTG5ME9aa/zXf/0X7rvvPjz66KM4ceIEGo1G8X7XdXHw4EG89a1vxd13340r\nr7xyFVdLREREREREdPEwuTADYwxOnz6Nz372s/jhD3+IF198EcPDw5M+pru7GwcPHsS73vUufOhD\nH0IQBKu0WiIiIiIiIqLVw+RCm1qthq9//evFZIeBgQForYv3h2GIyy67DL/xG7+Bv/iLv8Cll166\niqslIiIiIiIiWhs2bXLBGIMoivCjH/0IX/3qV/GLX/wCp06dQpIkxcc4joM9e/bg137t1/DhD38Y\nN910E6SUq7hqIiIiIiIiorVn0yQXtNZQSuHrX/86vvnNb+Lpp5/GwMAA0jSd9HF9fX245pprcOed\nd+Jd73oXSqXSKq2YiIiIiIiIaH3YsMkFYwwee+wx/Md//AcefPBBHD16FKOjo5MqE6SU6O7uxoED\nB/Bbv/VbuOuuu7Bjx45VXDURERERERHR+rNhkgtCCHzve9/DV77yFRw/fhz9/f0YHh6eNB7SdV30\n9PTgqquuwu/93u/hzjvvRGdn5yqumoiIiIiIiGj92xDJhSeffBJvectbUK1WJ709CALs3bsXu3fv\nxh/+4R/iPe95DxzHWaVVEhEREREREW1MGyK5oJRCrVZDqVTCwYMH8ba3vQ1vfetbcdttt6320oiI\niIiIiIg2vA2RXLj++uvx6KOP4sYbb1ztpRARERERERFtOpyrSERERERERERLwuQCERERERERES0J\nkwtEREREREREtCRMLhARERERERHRkjC5QERERERERERLwuQCERERERERES0JkwtEREREREREtCRM\nLhARERERERHRkjC5QERERERERERLwuQCERERERERES0JkwtEREREREREtCRMLhARERERERHRkjC5\nQERERERERERLwuQCERERERERES0JkwtEREREREREtCRMLhARERERERHRkjC5QERERERERERLwuQC\nERERERERES0JkwtEREREREREtCRMLhARERERERHRkjC5QERERERERERLwuQCERERERERES0JkwtE\nREREREREtCRMLhARERERERHRkjC5QERrjlEGqqFglFntpRAREdEmxXiEaGHc1V4AEVGLMQb1I3XE\nJ2LoVEP6EuGeEB03dEAIsdrLIyIiok2A8QjR4rBygYjWjNZGLhwB6UuYzCDqj1A/Ul/tpREREdEm\nwXiEaHFYuUBEa4JRBvGJGJBA9EKEbCiDzjWkKxG/FKNyXQXSZT6UiIiIVg7jEaLF438ZRLQm6FhD\npxrx8RjZUAZIQPoSkEB6NkX14epqL5GIiIg2OMYjRIvH5AIRrQkylBCOKDbySe8LJNKBlA2ViIiI\naEUxHiFaPCYXiGjeVrJrsnAE/O0+VKomP6Y28Po8GGWgY73sj0tERETrC+MRorWJPReIaE7GGNQO\n11a8a3LX67pQfaSKfDgv7jf6fT7CAyGg7WkCERERbU6MR4jWNiYXiGhO6jmFuMN2TXZKDgDYZkcA\nOm/sXLbHka7Ellu2IOqPAA0IT0A4AkYZhHtCCIfjn4iIiDYrxiNEaxvTbkQ0K6MMzFkzbSMVjkB8\nIl72ksSOGzpQ2leC8AR0qouNvOOGjmV9HCIiIlo/GI8QrX2sXCCiWelYA/kM70s1dKzhVJxlezwh\nBDpv7ETH9R3QsS4aK611rTuY62W9RERE6wnjkflhPEKrickFIpqVDOWMvymkL1fs3qFwxLIGCSvF\nGIP6kfqK3/8kIiLazBiPzI7xCK0FvBZBRLMSjoDYIaaVG/LeodXayFv3P1vlmfUj9dVeGhER0YbB\neGR2jEdoLWBygYjm5FzpINwT2tFPkdrw9w7nO+LKKFNs5O1W6v4nERHRZsZ4ZOaPYzxCawGvRRDR\nnNbrvcOFWmhJoY41dKqLjtWT3rcC9z+JiIg2M8YjjEdobWNygYjmbb3cO1ysqSWFwOwjrmQoIf0L\nF4Ct5P1PIiKizYzxyGSMR2it4E8aEREWV1IoHFGUZ079Wrz/SURERAvFeITWMyYXiIgwUVJ4wfeN\nlxReSMcNHZvq/icRERGtHMYjtJ7xWgQRrSmrNZ95sSWFm+X+JxER0WbCeIRo4ZhcIKI1YbXnM7dK\nCqeWIs63pHCj3/8kIiLaDBiPEC0ekwtEtCYstHnRSmiVDl4ooCAiIqKNj/EI0eLNK7lw77334vDh\nw8jzHHfddReuueYafPSjH4VSCpdccgk+85nPwPf9lV4rEa1hSykfnKt5Ucf1HdOy9ytR8rfUksLV\nKqEk2iwYjxDRXBiPMB6h1TNncuHhhx/GsWPH8MADD2BkZAS33347Xv/61+Pd73433vGOd+Dv//7v\n8c1vfhPvfve7L8Z6iWiNWY7ywfnOZ75YpYoLLSlc7RJKos2A8QgRzYbxCOMRWn1zTou46aab8A//\n8A8AgK6uLkRRhEceeQRve9vbAABvectb8POf/3xlV0lEa9bU8sFWdr9+pD7vrzFX8yLhCaiGQu3R\n2rweyygD1bCdktv//5WyHK8BEc2O8QgRzYbxCOMRWn1zVi44joNyuQwA+OY3v4k3v/nN+NnPflaU\nHfb29mJwcHBlV0lEa9JCywdnMlPzIp1r6IbG+e+eh4416o/X4W/3ER4Iiwx8+2NBTmysKlFIT6aA\nAYI9AWSwMtn75XoNLvR1WdJINIHxCBHNhPHIysQjjEVooYQxZl7pswcffBD3338/vvKVr+DWW28t\nTgdefvll/Pmf/zn++Z//ecbPPXz48PKslojWFBMZ5D/LIYLpG45JDNw3uhCl+W1Gxhjkz+QwJ+2v\nJOELmMgAJUA6EiY1UM8owAFkj4TcM3Gy0Hos1a9gBgyEFNAnNPSonQUtegScPQ6MNhDbBdxXT8+r\nGmWAFICPhd1rXMbXoPU6qOcUzFkD5ABcQOwQcK50WNK4gd14442rvYR1g/EIEU3FeGT5XwPGIpvT\nUuOReTV0fOihh/CFL3wBX/rSl9DZ2YlyuYw4jhGGIQYGBrBt27YVX+hcDh8+vCGDMz6v9WWzPS+j\nDIaGhi64+Rll0Pf6vnltjMUdwa4Y+nK7AYf7QiRnEkhXFl+vVq3Zy1wa6NzfWXxtowx6X9uL80Pn\nIbqF/dihGlAZf4C2jzfKoO96u67Dhw/jhhtusI99enH3E5frNWipHa4h7oghrpgyfkqE8+5Svdl+\nDtc7/sE7f4xHVg+f1/qy2Z4X45HljUeWIxYBNt/P4Xq3HPHInD0XarUa7r33Xtx///3o6ekBALzh\nDW/A9773PQDA97//fbzpTW9a8kKIaP1plQ9OvT8431nMLe13BFuld9HxCNHz0aTH8vo8QNvyRJOZ\nSY9lMgOd2kDAZAY618Xntn98qyHThR57MfcTl+s1aH3ObCWNK3lPk2itYzxCRDNhPLJ8rwFjEVqK\nOSsXvvvd72JkZAT33HNP8ba//du/xcc//nE88MAD2LlzJ377t397RRdJRGvXUmcxtzYxSCB6IUI2\nlEHnGkIKJGcSlK8sFxtceCAEACRnEuSNHK50UdpXso+lUTRhEp4oThgAQLq2CRNgP0aGE6cP8eml\n309c6Gsw0x3G+XapJtqMGI8Q0WwudjxitEFyOoHKFIQnJh5rnccjjEVoKeZMLtxxxx244447pr39\nq1/96oosiIjWl6XOYm5tYumpFOlQCtH6P2lLBhvPNtDxmvFNUQMqVvB6vQtuwO1NmLw+r/h6Xp9X\nlCBOyt6nWJYNdL6vwdQRUcIR8Lf76HpdF6Qr5+xS3QpCiDYjxiNENJuLFY8YZdB8volsOIPX60FK\niWBXMHF9wcG6ikdUrCAgULq8hM6bOhmL0JLMq+cCEdFcFjqLuaW18aWDKbJzGfJqDqOMLUms2Pfp\nVCM6FqHxXKPYkKUv4R5w7SkDYDfTtoy9t9OD0QYwgL/Th041/O0+KtdVJh7cx7JuoHO9Bq2NHBJI\nT6X2VCTRqD5cxZa3bEHHDR0X7FK9mCsWREREm9FKxSOQQOPZBupP1aGqCt5WD/52H7IskZxKIKQo\n+hGsh3gkeiVC0p8UFRr1x+toHm1i+3u2MxahRWNygYhWVev0Pj4Zw8QGEIBwBWBsBh4a8Po86Fgj\nH8vt+wBkQxkAoHSwNKlkcGrG3hiD6sNVJKcTRC9GSAfS4irFTCOnVmIDbb/DGL0Q2VMMKSBLEvlI\njqjf3udcalknERERLdxc8Uh6MkXnr3UiGAwg9tiKhvx8jljE02KRC1UQrLV4JOlPJmKR8cRG4+kG\nao/V0PmrNknCWIQWiskFIlq05Zp/3HlTJ8SXBAwMTG5PCdwuF/4OH9lwhnQghfSlHd2E8ceRNsEQ\n7g+nlQy2MvZGGYz9fAzVn1ehxhR0riFdibg/hjE2cLhYf8y3yi2lL5ENZRBy8vxsaBSByVLKOomI\niDaT5YpFgFnike0+Gs820CW6AImJPXyWWARYu/GIitW0WAQAjDaIjkfovKGTsQgtCpMLRLRgU3sH\nLHRc0jQ5UL6yDDWmAD1+UiDtJic7JHSs4Xa5k5oiQQOqqaATDRlMLhlsrS/qjzD07SGoRMHr9uDv\n8AEBZMMZRn8yCvMms+Q7mvPVusPY6hzdXv7YavDUHpgstqyTiIhoM1j2WASYMR7RsYYIBIQ7uUEj\nAKhUQdUUZHn69YW1Go8IiGmxCIDiuTEWocViRw6iTcwoA9VQCx4rtNRxSVPJUKJ8RRn+Nh/CFcVJ\nvt/no3JVpdjgvD4PRhmkZ1I0jzUR98eoHakhH8uhoonn0Vqfye3zE1Igr+ZIz6YA7IlDcjaBiSae\nd2sDXanMfKvkERLTkiStBk9slERERJvRYuKR5Y5FgFnikR0+wr0hZCBtLDLeQyE9kyJ5KUHt8ZqN\nSQ7XkNfzNR+PlC4vTU/AjMcjMmQsQovHygWiTWgp2f655h/Pd1zS1M8t7bUbXbjfzohujWoKdgXQ\niUY6kCI8YO8jZqMZoACnx4HJDBrPNJCeSVG+soxgV4D4ZGz/gG+PUQSQV3P4231b0mgufnlfUfLY\nHyM5m8DxHXh9nh1pxUZJRES0ySw2HlmJWKT1+TPFI63+T8G+AABQ/2Ud2UgGb4uHYJd92+C3BuH+\n0F3z8UjnTZ1oHm2i8XTDVom6NmkS7AsYi9CSMLlAtAlNzfYDmDR1YTYrNf+4/a6hMfZEQDe0bayU\nGiQnEvt2CZQPleF2u4AL5CM5hBRQNQUAiF6MEL0UoePqDshQwu1xoRoKEDYYMbmBcAX8HT5E6eJu\nnq2Sx8p1FVQfriIdSO3phgYbJRER0aaz2HhkpWIRYOZ4RHZKxEdj5KM5ZJeEe4mL8hVllK4oTTRH\n9NZPPLL9PdtRe6yG6LhtKC1DNm2kpWNygWiTWWq2f6XmH0+9a9h4uoHkdGLX4gLlK8rIqzl0pNFx\nrd34ao/WimZEOtcwmYEMJNSoKsZHVa6poPFUA6quiuSEu9VFz809GBSDi1pry2KbSElXoueNPcva\nhIqIiGg9WUo8slKxCDB7PFK5ugKjDPKxHCnS4t/bmyOul3hECIGum7rQeUMnYxFaNkwuEG0yS832\nr/S4JOEIyFBOJBbaOBUHuqnt401pjNhqiigcAbfHLZ5H6aAtb0zOJHA6HFSurhSjn3BkcWtcShln\n+wbORklERLRZLSUeuRijG2eKR4Qj4Ha7aD7btBUIGyAeYSxCy4XJBaJNZjmy/cs1LmmmTPtMAYdw\nBJweZ2JCRKsxYltTRAAoXVFCuCtEcjqBTjXC/SG6f70b5avKRdOn+axjJgst41yRjtZERETr2FLj\nkeUc3ch4hPEILQ8mF4g2meXI9i91XNJcm9tsAUf5ijLC3SGSUwlkp4QaU/C3+QgPhMXzKO0tofPG\nzjk3aWMMaodrC9pkZyvjjPojlA6VpnV5XkqPCyIioo1oqfHIcoxuZDzCeISWF5MLRJvQcmX7F1tK\nN9fmNlvAUWzUNxhs+Y0taDzVQNwfQzf1tGZEs63PKIP88RzRlgjSl9PWMVOwcqFTDGMM4uMx4tMx\nVFPB7XQn1qGxIh2tiYiI1rvliEeWUta/1uMRow0qV1UumJRgPEJrEZMLRJvQcmT7Wy6UjZ8tQz/f\nBk5zBhwSiJ6PkJ5NYWAgIBDsDOa+Zzh+ShH1R8h/kqO+t16MgxRCABIY+dEIov4IRpl5nWLEx2Ok\nQykc34Hb6RbPBQDKV5ZXrKM1ERHResZ45MLxCADEL8WoPlxF83gTTuhMq2RgPEJrEZMLRJvYUrL9\nFyolDHbbOc/JyWTGsr75NnBqDzhUw451ar0dmHza4Fbsr7LkdAJxRMxa2tf6PGjYzs4SSIdSAEDp\nYMluzGdThJeFM54etJ9iFF2iISbds2xt6JVrKivW0ZqIiGgjYDwyOR4BgGwogzEG0pGTkgTtiRjG\nI7TWMLlARItyoVLC0Z+MAgDKryrPeJdvIQ2cjDGoPz79LmTlusqiSvumnVKMxxNCCmRDGYK9AbKh\nDDKwnZ5ba5h6ehDsDhDsDpCcTOx4zETDv9SHv8svRk4BNjgxmVnxjtZERESb1UaLR9KBFBCAcEUx\necIuanplJeMRWmuYXCCieWkvLQSAqD8C7FTIImOeD+cA7CYGjWIUUytjbjIzLdPe/vWnbm4z3YVU\nkVpUaV/7KYVwBNBt3yZ9CZ1r6KaGShXCnRPriI/H004PkpMJwj0h+m7rQ17PkZ5NkQ/nSM+lkK4s\nyhpbwclydrQmIiLazDZaPAIAqAAmNxCugE40DAycsgO/z58Uj0ytrGQ8QmsNkwtEm8BCRxtN+lxj\nkD+bY+jEEHSqITyBbDhD89kmBAQgAH+Hj2BPAJUpZGczu5lLO+vZ7XWhEgUdj79tSqZ9ps1ttruQ\n6UA64/OYdtrQ9txbpxSthkcYBTKdQTUURMneqwx2BJM6PWdDWfFcWqcH7ScS8QsTa2ydgKRDKYw2\n2HLLluJ9y3WnlIiIaL1iPDIRjwhPIHohsgcYYwZpw16JcLe4kI6E3+dPi0faKytba2A8QmsJkwtE\n69B8N+flmGdce6wGfUIDrwackoPohQjxmRjR0QgylDDKIOqPEJwMkI/kyKs5/F1+MfO58VQDxhh0\nvHqiNLA90z7T81ANhbyWw+20v6ZMZoqTB6MMgp32CsNMpw0zPfdgd4DRn4wiH84hHIFgdwCTGzhd\nDsqXl1E5aEsc4djH1LmGcMWk0wPAnkiohkJ8IkbpUKmocNC5ts/dAJXrKpOe01LulBIREa01jEcW\nH4+oukJ6LrXXH3yJ4NIAOtUovaqEzms6bd+G8dfGZGZaZWUL4xFaS5hcIFpHLti0aFeA8qvLE6X+\nbZYyz9gYg9qjNQx+axD6jEatXoO71UV2PoMaVlANBelLCFcABqg/UUdWzeB1eIhfiOF0OfC3+1BV\nBVmRk0oYTWYDgI7rO6ZtbsYY1B6roXmsifrjdeQjtrTR7XPheA7crS6CXbYLc/1IHelAOm2qw2zP\n3b/Un3is1AAaxVzq5FSC3nf2Fh9rlIEQYtLpQUvrVEDFCtKRCPeHCPeHRdChUw2TGP6WJSKiDWc9\nxiP5WA6n5BS9CIwyi45HpCPh9rgoHSyh86ZO1B6tLSgeifrtdAl/m28rF8bjkWBHAG+rZ5Mu41UJ\nOtX2MKStsrId4xFaS/hjRrSOtG9QMpSIj8eoPlKF0+2gcmVl0inAfEcszfZYzWNN6ETbRkMSSM+m\nSAYSmKaB0+FAlm3SIB/KoeoKbslFuD+EbmhkIxl0oqFiBaMMxh4egxpTgLAbMwzgb/fR/evdE5l5\nYzDwvwbQeLoBo419/IaGt9UDBKCEQv25OqQrUX+8DqfHQelgCcHOAF2v6ypOJ2Z67gDQfLYJ/1If\npQMlnOs8h84rO4uPU6mCScykksHS5aVJpwetrx/sDtB8vonG4/YkpP1uoxCCnZeJiGjDWk/xSDqc\nIj2TQjc1TJeNR6BQVDsYbeYdj7hbbFJDBhIqVbbJY38Mf7etkJhvPGIyg+RUgi1v3oJwfzgpHlHR\n9FhEhrKv78A+AAAgAElEQVRoKIm2HAjjEVprmFwgWiemblCtsjfhCuia7WTUfgow3xFLF6JzjZEf\njSA7nyHuj6FrGgkSuFtcxP2xzbALQHoSTqcDnWmEW0IYZeBvsxusyQ2Ss4m9H+gIqKo9XTDGfm6w\nI0A6kKJ+pF6cWtQeraHxVMOWG2oBGUjoSCMfyZENZXC3uoCCnSPtCKiaQnrCNi1qPNEovs7U597q\nsZANZUjHUggpULqsBPiYtOG3b8CtksGOGzqgU12cSAhHwN/uw2iD9HQKf7tf9GVojZAK94fsvExE\nRBvSeotH4pMxVE3BKTuABPLzub3m0OUi2BkAGvOOR+JXYggpEO4OIWCrArKhzMYVB0vIhrJ5xSPp\nuRTNY03AAOHecFI8cqFYBLBXG1SkGI/QmsY0FtE60dqggMmNBgG7+ZrMFKcARpkFjViaqvpwFelZ\new/Q2eJAVzWazzcx+pNRZOczuyl3uIAD5GM51KiC2+PC2+IVs5rhAqpqN3On4kBVFaAAYQTy4RzO\nFgfSl8V6jTJovtCEShSMNjC5LRH0tnqQPRJO2UG4Lyyek8kNgIluza3RTMD08VLx8RjJQIL4RIzs\nTIZ8NMfY/x1Dfji3yQ5M7w5tjEHtcA3nv3MeyekEAJDX7MfHJ2MMfWsI8UsxwstDeH0eoO2a0oEU\nwc6AnZeJiGhDWk/xiIGBbmqbgCjJIh4RWkCNKqhIwe115xWPuD2u7cF0iY/gsmDiOWkgOZMgG86K\nxMtc8UhyKrHJipdjVH9eLeKRC02qYDxC6wkrF4jWifYNqtVosPXv7ZMM2k8BFjPP2Ci7IcmgbbMX\nAAyga7YkUHgCWmk7Nmk8meBd4sHf5kMIgWwog2raTblybQXxKzEazzSgGgrI7QYfXB7Ybsg7fajI\nlhbWDtcQvxRDCAGn254wwAAmsicTrTuSkEByLkF6IkU2lqHxXAPeFg/eNg89b+yBcETx3I0xqD9Z\nR/xyDNVQcDtcuN0uZI+Efkmj8VQDlasmSjhbzakazzSQnEqKO5LRCxHSc/Z+ZLA7gDHjARWA0sFS\ncb/RKIPK1ZV5N6giIiJaT9ZTPJKcTqATu76p8YhJDVRd2eoEIeaOR9R4ryanLR4RQP3ZOrKBDPWn\n6nB8B/5OHz1v64HX6c0aj7QqEowwUKcUms81sfVtW4tkAOMRWo+YXCBaJ9o3KOGJift82kyaZNB+\nCjDbPOOZOjzrWMMoA6/PQ3Iuga5pON0O/A4fOtEov6qMYK8d2+Rt9ewmWxJwu21jIyEEwv0hVKQQ\n7Awg5Ph9v7IE5HjZnwHUiEIW2ix/85kmktMJsnMZVE1BNzTMgIGOdHEnUpYl0rOprTTIgPjlGNlA\nVkxzyEdyDP7rIJySg65f7Sqe+/nvnbfPI9Jwu1y4PW5RDil32fuRvf+9F8ITxR1SFSvUj9ThbfVQ\nuqJUJEyEa/832BvY118C2VCGcL8NjlrBxlx3G6e+9ksZzUVERHQxrad4JNhr//gOdgaAweR4RArI\nLol8MIeUcs54RAQCakwh78qLeCQfzKFSBV3TMNJACYXkbIITf38C+/9yP4QQs8Yjxhi4nS4c30G4\nO0TH9fZja4drjEdoXWJygWgdad+cnU4H+WgOf/vkOcjtpwBCiGkNgSAx6zio1olEeCCETjSiPLIl\njlLA7XER7A5shn+7j84bOm3ZoTAoXVZCciqBihUAINwXIq/lGP6PYQjYqxAGtvGSU3ag6rayQWUK\n579/3o6UOhnDJAbGGOiGRt7M4TgO3LILAYHGcw0I336tfDAvxiwZZRBeFiI5nWDkRyPo/BXbFKnj\n+g5EL0bIzmWIX44h/InXRVUVUBlv6JQZNJ5s2DuiEkheThAdi9A0TTSeaqB8dRkqU3ACBzrX9rpG\nn2fnR+emKAFtvf6AHV01dXOe2l1beAK6oSErdg2LGc1FRER0sa2neKR8dRnp6RT1w3XAAPlwDm00\n/O0+hBTIqzm8S7x5xSOiQ0A1FJrPN2Fcg/Tl1DaaNIAckxAlgfCyEI1fNlB9pIru19kmkbPGIzUb\nj0DahErzueayxCPBrmDGRAHjEVopTC4QrSPtm7P6DVVk2HU8eVOe9nltDYFa2fCZxkG1n0iUrywj\nH81RPVNFaWcJQRIUm4x0ZVGqWNpTso9rgObxJqKXIpz/P+ehElWMbkIAiFjApAbOdsfOZa4rRC9F\n9p7kmB1ZKVwBXbenFf4WH26vi/LVZSAH8tEctV/W7CSK2FYsGG2gxhSSVxIILRCdjOz1hy7XnnoY\ng2CPPdloZ3ID0WmDF+GJ4jWJXoiQjWTI6zl0UyM7m0E1FLTS6Li2oyj5bAVQrcZKrY7NxhgM/e+h\nCwZKU8dRtZc2lg6Wpn0viIiI1qL1FI80n28iPZsiH83hhA4QAo52it4ERpl5xyOlq0rIz+TQiUbz\nWBN5M4cwwsYjsYFONZJXEiAHGs820HVTF4QjLmo8onMN3dCIT8aIXooumChgPEIrhckFonVIOAJu\nh4uu13YtqIRtvuOg2k8kZJeEPqHh9XkoHSwhftF2OXa6bSDQ2rDqR+q2lPBsBl3T0E1tOyy7ErJH\nAsOAd5ltNOTv9qFGbbNHk9oMuYJtrOSUHPiX+rYUcqcHNayQHE+K/gv5iA0OdM02aBKuvXahI40s\nyuAP+sXzap16lA7ZU4zklQTG2Ky+2+NC7LGBi8lMkQzIhjJkg9n4C4OidFJXNZITCTqvnxhdGe4P\n0f3r3ahcXZk0JupCgVLH9R2TXvtWE6xWaWN7KeN8RnMRERGttvUQj5jIwOv0gBxwuhygBvi9Pkxu\nFhyPpC+mgLRXQPKx3FYgNGzfBOEJOL5jp1wluW3aON5z4mLGI42nG3aEtiOKv/TaEwVTX3vGI7Sc\nmFwgWufaTwEupH2zn+84qNYdQaMNVKQgT0pkgxlMZlC6ooTuN3aj/OoynJJTlN+1Nq5sKLOnAcpA\nuOOnCpD2nuBwBtMw0IlNPsAAskNCuvbrCyHs27tsyZ6ONHSii+ZQyRl7V9GpODaxIASgAJ3ZRIPr\nuxC+mDTCKdwTInoxQsevdBRjmoy29y+r26s2cNH2HqbJDFSqoKoK3hYPGTKoqoLWGk6XnXrh77EN\nn6aeBFwoUDLKlihG/RFKh0qTx1G1NcFq76499XtBRES0Hqz1eEQIAelICCPsNYJ5xCOmw8AIY6sS\n2uKR9Jy9DuE4DjKdwRHOpHjE7/ah6xMfLxyBYFeA5gtNdL22C8mlCdJz6bLHI9CYSCxM0TzWROWa\nSpHAYDxCK4HJBaINatJ9utiOjAr3hcVGN9XUcVD1I3UkpxI7XeGQi679XdCxRrgrRNdNXZM+txUk\nCCGKPgitjam1CWbns6KzstvpQjl2kwQAf4eP7LzN0OejeVGmmI1ktl/DSA7VUIheiexmnxsYaeyI\nKGEbPLoVF/5lPipX2I0TPqAyheqRKsYeGkM2nNlkw74Qvbf3outXunDu+XM2QeEAwc7AzpzWgFba\nNnJqajhlBwI2YOr69S703toL4YgLNp5qbdatOdbZUFZs1LIiJw3/bW+C1d5d+0LfCyIiovWqFY9E\n/RFU01YJhHvWdjwS98c23kht3wUVq6K3RF7LEb8y/n7fjpzUmb2qKTIBd4uL8rVl27AxMzCeQfW/\nqhh+cBjNZ5p2UkSXg8prKuj6tS50Xt9ZxCMG4w0sTycQEAuOR1SsJicO2uKRvJHbZMaugPEIrRgm\nF4g2qPqROqJXIiT9SfFHbv2JOmRZovKaSrGRANMbL7Vn/nWsYbQpTiSS04k9BWj7w7p9LFWra7Hb\n5SKv5hCuQLAzQF7PEe4L4W/3oXONkR+MwAwY5PUc2akMwb4AOtPQmYa3w4Pb6SIfyZEOpLZiIdZA\nYrP/OtIQoYDskBAQMNKgcmUF3Td0I9gXQAQCtcM1nP2ns4j6I0hPwrvEg9vnIjuXYfj/G0Z+Lkf+\nSo6qrMJog/jFGMnLCdKhFHF/DBlKuBX7KzIdSCECgZEfjKByqILOmzqnNThqfw1aG7kRttRQjSmM\nfH8E0ECwJ0DpUAnCEbYJ0/gdx/bXfrbRXEREROtJ7XANoz8ZtY0Ux//gj/tjeNs8iE4x63jK1YhH\nRIeA0+NABhLepRPxSFbNoEaUbcDYikcSDdkh7R/zCoAPlF9Vtn0hxuORgf81gOEHh6HGFIRrkw/O\nVgfJqQT1R+0Yy/zlHGePnoUIbcVEOpBCp9rGEsrALc8vHml//sDkeERVFRq/bKB+pA6TG8YjtCKY\nXCDagFqbcSuxAIlis1F1W2YnusW0poMtKrLzllVNQecaalAhkpHt2JxqqIaalC0Xjt2woxcjuFtd\nZMMZ/B1+UYGQN3LIskS4O7RZ9Odie29Q2E05H82R/FdiN7udAcK9IXre3IP64TqaYRPxS3FxFxIB\nAMdm44UWcMoOgn0Btv3PbXBCO8qp+nDV3mk8mRRNnlRdIRvOIH2JpJHYKRMwOP3V09B1DX+HD+lK\ndFzdgexcVjRmMqmB0+nA7XYhxESjpakNjoorGP1R8Zqnp1PbhbrHg1Nx7DUJYxAdixDsCRDsC+Bd\n4kFW5PTSRiIionXOKIPRH4/a5s5tsUg+bE/RK1dWbG+CNRKPZKMZ0uMp3LIL/1J/Ujwy9sgYRK8A\nMgA5bB8Em/eA9CREIGw88p5tcHwH/iU+ao/VUH+ybvtQjU+IaI9H3LIdm6lOKZx/4jyEJ+Bvs/GI\nf6kP/7QPKNhqi3nEI+1NMAEU8UhyylZCCM/+w3iEVgqTC0QbkI7tHbnWpjKVDCR6/3uvLde/QOOl\n5jNN5KO5LZXzJYS0TX6MMYABhn8wbOcn+xLB7gAAEJ+KEffHRWdj1VCAAvxtPtwtLvxdPoJ9AaqP\nVJG8kiCP7DjJbCyzs6aF3ZjdHhe6YZsVuVtcW6rowr49HC937BMQgYCEhHY1vK0e6r+wmXh/p4/s\nXAbkQHIuQbAjAIRNRmRnMwR7AuhUo/5UHdmjGRrnGoCLIiBJz6U20IBGXs8hPQloW07p9dqGlDM1\nOOq4oQMqUlCpHX+lxhS8Hg/+Dttk0ig7IgsS2Prfttr7pJwrTUREG5RqKKRnU8jSlGBEAtlAhvIV\nZXTe0DnjHnjR4xEImNxASz0pHnG6HeS1HOGuECY1EIEo4hF4QGlXCclQAm+Lh+H/M2z/yD8U2qbU\nZxNbseHZ16AVj/iX2p4JjWcbyP8zR+zEgGP7SQU7A1t12tBwe12oV2zVw3zikVZCoHmsibyR234U\nxvZ8aGE8QiuFyQWiDWDqZtC6H9dq0NOudWJvMnPBBj1GGSSnE/jbfaRD9g9t+4lA/ck6KldX7IZj\nrydi9CejAGwZYOXqCowyaDzbAARQPlC2WXJHoHm0ieazTSSvJFB1ZUdJOuP3/ATsH/i+QD6aA8I+\nVu//6IX3lIfUpDDGwOlwIDIBFSnohrab/zYXlWsqtsPziEI2mCE7lyHcFQI5kA1ngABUTSEdSm1P\nBaNRqpWAOgAHgB7/OGU7PufDdua10+HYYEaMN4Ly7F3EC52WADYg6H59ty1nbGoIIyYFVK27jDrV\nxQkLsLAmWNzsiYhorbrQfmWEufDHjr99pj1wVeIRADDT45Etb9sCt+zaNShMjkdqGpk3Xomw1YXb\n5UJ6EmpUIR1MbSVkVUNsHe8h1RaPmNzYaw0xgB5MxC3j8Ug6lKL8qjLUXlXEInPFI60xoZVrKsVr\nWdM1G2uNW0w8wliE5oPJBVoy/rJZPZOaNk4pKSwdKKH+RH3Sx+tcw+v2IL2ZG/S0miG15iZnQxl0\nrKGaCjqxzRRrj9agcw0hBdKB1JYctt171HW707c2cgAoHSqh8UwDqqFgjIFJTHEKIaSwzRm1QXwy\nhhd5SE+lKB0qwdni2GaIGshHcztBItbF5whXoPl008563hPabsdNbe9Z9rmIXozgdDpQkYKJDbIx\n2z26+WzTnnwIW6Jozhikp1M71zrX0LBdoCFhkw8jGcqvLtvywhPJpNOS9qkRwhEo7SvZXg9B22us\nAa/PswHAPBskzfb9ndrzgYhos2M8snpm2q8q11UQ7AhsU2U58T3RuYa3xZt1L1yteETnGiYxSE4l\nUJFCeipFsD+Av8u3VQuhmBSPQNj4xNvuoflME+H+EOFuG4+YpoHb7SIbyaAHtJ0AESmYyNjn8bKd\nVGG0rcRQjcnxiFEGGna0NyQAB8jG5hePSF+ifKhs4xF38fEIYxFaiA2bXOAGs/L4y2b1tV5/4Yii\nM3Axy/hXO9F8vonGUw1orZEP5XYDy+wf5PXH69O+V0aZYlMWwt4dVLEq3pectj0Mgl2B3TRTg2w0\ns3cZf8V+XmukEWAfq/W/wrMleZVfqcB53rF9FIQBhu3PkooUXMcFNKCGbflf48kG/O0+Om/oLK49\nZKOZHSXVJWCaBmpYIWpEtuxRAMGuAKIsEPVHNkhoaKgxZU8iygJulwvhCXt/MTfIGhlUXcFNXbu5\ne7D3QkckssiOfkIAeL0edKbRPNosNu2W9vnRwERJYtwfIzmbwPEdeH0ewgPhghokzfr9ndLzgYjW\nJsYjK4/xyOqbbb/qubmnaOioMoV8yPZb8Lo8nP/u+Qt+r1YzHtF6vIF0JqCMggiEvcaw3YeqKuQj\neRGPCEfA7/OhI41sMINONfLzOYCJeEQntll1fj6HrmsYGLhbXHjbPHvoMZwBBogHYohUwEkde+Di\nGsiyRP1I3TbDjDVkWSLYE8Df7SM6FgHAiscjjEVoITZccoEbzMXDXzarq9W0ceqmIBxR3MHb/p7t\nqD1aw/CDNqvthm6xqbR/r6b+dxO/EiM5ldiRS2M5TNUgd3IIKaDqCumZFMHOAMK1ZYSqbhstCSWK\nk344QPxKPKk7tNPjoHJ1BW6Hi3QgtQkBZ3yzl7Y5IwC4W1zAg/36noSzxXZhFoGdUS19Ca/LQy5z\nmMRAVGwQkY/mEELYACZS0FVbweB1e3C2OihdXoKQAs3nmjC5AaqA8Qxkj4ROx08PasbOuvbthAk1\noqBiBYHxe56ZQfevd086GWl/zSeVJF5XQfXhKtKB1I690ph3g6T5fH/5hwrR2sV45OJhPLK65tqv\net/ZCyFs0r/+VN0mC3YECA+ERWNCYG3FI94WDwDgdDuQof26ss/2hsobOYRv4xGn4sC9xEV2JgMy\nQEoJnehp8YiJDWTJXrP0tnko7S8BAJrPNW1zSDW+1hKKsZgmNTCwo7VLV5agztt4RNc14v4YQtjx\n2isZjzAWoYXacMkFbjAXB3/ZrL5WuWDr53zS+1JbqudUHHTe2In4RIyyLk8qC4Qz0Qio/vjk/26E\ntCf76akUbs/4rwkNuCXboVhVFcwOe09QxQpqVGHkZyMwTWPnMud2Y80usV2aW2+TmYSJDMoHyxD/\nQyA5nSA5naD2i5qdF21sg0lZlpCBRHQsQvPpJiBgrzp02NJGBLZzMgBkic34t045mi80oY1G2BtC\nVRREaDs7O6ED3dQoHyrbz2tN0YgkTGKgcgXHc2BcA6fLgWoouD32ZMFTHkRom03WHq3ZMkJfFoka\nIcSk17xFuhI9b+xZ1MnlfL+/RLQ2MR65OBiPrL659iuTmKIHwIUaSbd/r1YqHkn7UviX+JCehNbz\nj0davZfqR+qAtoccOtZwtjpwuuzzTfoTu6zENm00xk5iaMUjwdYA/jYfum6rG6RnkxVT4xE3cu1r\nqTScwAEMbO8FbSCMmBSP6ERDjSpk5zNId+XiEcYitFAbKrmwGTaYtVJeyV82q2/qLONJ72u7Q6dj\nXdzFa5UFFncRxxsBRf1R0RAJAPLzOfztPvLhHOH+EHJYIrw0RKPZgNPh2IZETWWbHQGAA0RPRfb7\n3uGgfE0ZwhWIX44RHY8AYR/Tu9RDOpii49oO+Pt8RC/Z6wwykBBa2PFQl4V2nZ69V6jr9mcpr+YQ\nTXtiYMYMpCPhVlzb2Rn2eTWONpAOpkAOxF4Mt9uF3CKBFDaREEroTNvSxoYCBoBc5hDZ+AlEjwNU\ngXwkh9Ph2HGXxiYVVKqQjWTFnUzI8YAAQOlgadZ7i3M1bFzK95eI1h7GIxcP45HVN9/9ymSmmGCl\nYz3pwGOmeCQbzOD1elCjCqUDJVSHqguLR15TRj6ao/lcE9ELEaRvqw3CQyHSoRQd18wdj2T1zFYf\nZAaOtvFI3shto8bcNm9uxSMylMjrOWpP1JCP5XaiQxDDv8SHCAVMauYXj5Qd5KO26sHtcafFI+lQ\nCjdwi9d9peIRxiK0UBsqubCRN5i1Vl7JXzarr32WcXtgN/UOnQgEklcSZOczm1UPJPxtvs1wewK1\nX9Qw9vCYHQfpSshOiehEBN3USAdSm5RQBthpuyN7fR78bT4qr6ng/H+ch/QkvH0edM1eK4AA1Hl7\nL9Lb4iEdSuH0OtBVjeSlBNkJe0dRViQ6b+pEz5t7UHu0hnQwRdwf24qHITvPOR203aFbz0WNKLuW\nHNCBttUGgWMnPoy/HzFsJcN4HwdRFraT84h9/sK1Exz8PT7wAuBEDlRsv242ZCdLwAP87T4qhyp2\n9BOA5vNNOKFjr2y0frzHEwzB3gClfbbEUTXUsgTb8/3+EtHaw3jk4mE8svpWIh4RjoCqKcQnY0AA\n6UBqryq4AOT845H4WFw0fE7PpZA9Eqqq0HyiCVm2TRxni0fSoRRqWCGP8onDBQB61FYYAIBxzKR4\nxOmwiQEk46+Dtn0V3F53wfGIMQZenzctHvF2efD6vIlGmSsUjzAWoYXaUMmFjbzBXKi8MuqPoCKF\n7td3X/T/uPnLZnW1Towq19kxQxcK8lrqj9cRn4qRnExsSZ9jOyprpW0HZ53B8SemIjSebCA5m8Dv\n820JogOYqkF6NkWwK4C7xUVyKkH1kSoazzbgdriQJWnL9jz7fc+rtnmkDCVMbKBGlB13JIXNuJ9J\n0XyhidKrSgh3hLb/gbBle8kZO3NaOAKOZ9eVN3MIbSsUZCChxUR3ZeHbO40GBjrRgDN+5zHX0GO2\nq7QMJOAB3iUegn2BLWGMAQQA6oAMxqs6MgAu4EgH3lbPviYSxemcSQ3KV5UhHWm7VufaNqXa5sEY\ng6H/PTRnsL2Q076iEdMs318iWnsYj1w8jEdW10rFI8mpBOn5FLqh4fV6cLoc5HXbSBE7Mb94xNg/\nuP2dvl1rezwCAdklkZ5N0TjaQPlAGaV9JXuA0R6PNGw84/iOnQrRtNUIBrYiFAJFLLAS8YgMpE0q\njCdVdKwhAlvBEF4e2msjKxyPMBahhdhQyYWNusFMLa80xiA+HttfJok9XS7tK130UwP+srn4Zjox\n6n1nrx2lNGWDMMpg9MejcEoO3E7XdjjWBqqqkLySINxnRyW5vS4aTzWQ13IkJxLb38AA4T57fw8j\nQDqYIjwUwt3iQuU265+P5TCN8Y7JvkBpb6loiCS7bJNEpRVE05b5qbpCXsuhU43sXAbd0NCHNIQQ\ndoa1I4rmiU7gACFsJUFqv6aR4/OgM0B2SXsf07MjKXU6fkfSlxDGfgxSO0NaQ8Mre3B7Xbg9LsQB\ne/ogXGE3csfA+LbBkb/Lt00g+zzIkrTllg1bAinOCQhPwL/ER8evdtgmTNL2c0hOJrPerV7MaV+r\nEVPH9R1rovyYiOaH8QjjkY1uJeOR+i/rdhKCGR8VrU0Rj+iX7PUJf4c/ZzxijO3F5HQ6UDUFlSvI\n2FYr5GMToySz8xlMw8BkBm6Ha/9dGxuPCGEbTLeuYDYBoQS0sLGLzjWcTgfSlSsTjwhAVmz8JDzb\nvBqu7TulHlPw+rwVj0cYi9BCbKjkArAxN5ip5ZXx8dj+ISaFLQfXq9Mkir9sLr6FNghTDYXkbIJ8\nOLczmaEhhbRNiISd/+wEbaW5CrbiYLyhoskM3G0uTGTgdXgIdgYY/t6wPXWQgNvh2k20Zq8g5KO5\nnebQIREEAbKhzN4lTMbvWvo26Dax3ThNZqBGFbytHvLh3G62W8dPHlJjgwplYHI7Dxo5oI0GFKAb\nulircO3mLJU9LVSpsnc2W70eujwElwYwsUF0NEKwM7DTIUqAzG2g0brj6ff6kBWJ7td2o/edvWg8\n00D8sj1paZUftu42hvtDBDsDJKeSOe9WL6W522J6NhDR6mI8wnhkI1vReESN/yMn4hGdaHh9Hsw2\ng9KBErxLPAz9/0NzxiMmN4hPxja50FDQY3azF8HEiEjhCJjc2BGSGkhPp/B3+0U8kg/ntuIh13Zc\ndqqAFLaKUgNKK8heaadBzDMe0U2N+IUYwa7xEZuzxCO9v9mLre/Yivov68iGMiSvJEiH0km9ny5G\nPMJYhOZjwyUXNuIG015e2bqH1brz1cqUrmaTKP6yuTgW0yDMGIPGMw2oUTX+wbDjHh1771f4AkbZ\nDTXYFcDf7gPGXmtwyg6SlxPoqoYZNEh7U4z+31E0nm8UIx7hjGfiU20rC2IDsUXYU4LzCtKTCPeH\nyAYz5AO5vaOY6eK6ATzbXbnVHyE/nUPk9pQAiX2f0goiFbaCQcLeoxz/cdORhsqUHRtV9pBVM1s2\n2SopdADhCzg9Dowytvwy0cXXkDskvMBDNmDvNrod9iTB7XNROlSCU3GQnk3hlB2UDpUgjk+UH6YD\nKbrf2I3yq8uI+qNZ71bLUG745m5ENBnjEcYjG9WKxyN7A+jIlvlno7YHU3Q0gh7TMCMG6fkU6UiK\n5tEm1JiaNR6BBPKhHN52D94Oz8YjZ3OYyEA3NIw0Ra8lndi/6rPRDNrV0EMauWdHXqtY2T4RrrQx\nxPg1BWj7TzaaQXbYRowOnBnjEfj2cCQbyJCeTiE7bYNJZ4czazzidtlqD+lLhAdCu07GI7QGbbjk\nQstG2mDayytNZjvTSl8C2pZut3faXWtNotZKN+mNYOqJkVG2hE94Fx47ZJRB7UjNdjhuXScAoJoK\nxhgEuwOULi8hfjkufqaEK6CV/WM/G8mQJzlEVcCcMohHY6QDKfLBHPBgTwRS+/0F7KYufIFgV4DK\na69MOJ4AACAASURBVCqIX4zh9ri2q7LIoWqqaDoknPH7gzmQnEkQn46Rnc1sWZ8LiNDOmHa6HSAF\n8lpeVFXYB0ORbJCehNPpQIQCWS0ryhIhYU8QAgGo8cccv+PpbndtD4dnDRACoiQgYKdZuH0uOl7T\ngc5f7YRuTrzmQgiUDpYQ7rfdo7XSqFxVmdfd6o3c3I2IZsd4ZG1gPLJ8LkY84nQ7tpdHTdmeAw6Q\n13NgABj69yG4FReqpuxYyVniERnYKwXuFtdWJzi5ve4gBYwwkK60CYb2eORMBpyErTYYj0fcra6d\nYFXTNlkgMBGTYOLfgwMBVF1dMB6BsB8nO2QRxwhP2OlUJ2ySg/EIrXcbNrmw0bTKKKP+yP6iGt/I\nW9lLYHqTqJk20ouxwa61btIbQWvTmHTHNbdZdHera/+IxsRrH/VHGH1oFMLYzR4u7N2/8dP/0qES\nKq+xDZiqj1RthYAzvhEKID1hT/lNp73fZ7SBSYzd3DXgVBz7dYX92Wtl8VsjnyBtwyJviz0tUA0F\nkxjoEW1LCzPYRIYy/4+9N4uxI8vPO3/nnNjukgvXZLFI1t61dal6k6bakuxWyzYgY4wZzNuM+0GA\n3vSoJ9mw5LZlQwb86HmSHvwiGxgYGAMzgiVIwqi7LXe3pK7u6q4qd+3NKhZZXDKZ27031nPOPPwj\nIu/NjUkyyWKy4gMIkpl3iYgbN84X///3/z4xMnLyfCrwE09RFURnIlwqSgM1p/CbQgDaBT2W7iAB\nhHMhnKvnIr2XOMmBwQwNxY0CX3m885jEoJwiPh+jVhQLzy9gN6y4PlsYvDBg6Z8soZTadaFWRjpz\nyqr2O3Sr2eqH2dytQ4cOny10fKTD/eAjwckA97bDbljwtargJJCAH3uqshJlwMTj+35XPlLeLGW9\nrxMUXOmIz8dSlEiFi7hSFBIzfMTL87FTfGQpklhrjzymQHhLw0eMHBcTGyl2nPOzfKRv5L1qxU/L\nR+r4Sv2yZlEtUq1WHR/pcKTRFReOCKblldFS1EYENpi+cOy1kA6+OGD8o/GeC+xhLvJ3M1/eYXc0\ni8bqt1bb2f+mYwQw/vGYuS/PtcceJ1396FQkskLvMX0jn8mcIXkiYfLTCcXVguhkRHGjoNyQ1w2H\nIXZRjBjNwEAKbiLuysEwkO6DFTfkxuRIaTEtqtYr7EhMhlSwVazQgSZfy8VgqfRbM5W+/lNLCwnq\nv3MobhbtfuDAq3oVb6SIXt4vCmWcI340FsJiwJ+ThIvishRJ9KJ0QoYvDTE9w+TNCVpp+s/0W5Mk\nFcr3wG5azMAc2JTtVrPVD6u5W4cOHT576PhIh/vBR6pJRTAfyE28ApvKqCVrYEuLdppoMaKoij35\niN2w8rw5TT/qo9FUWYUONGVeSvpCbWDdNi6agkFtkNjykdWi9YFo9hM19XcpYwr9Z/pUN6sdfCS/\nnGOvWUmAmN/GR34ywXzeMHhhMKMC6fhIh6OIrrhwxKCMYuEXF/aswsPeC+n4p2PM0Oz4ufciUTus\nqv5BZvEOE58lqePg5QGrf7mKQqr/OtBtxyi7lDF4aTBz7HWkCRbka17eLKXCrRR2ZBm/OZYqdaRl\npGC1ZONvN3AbDjWvIBNpISUwBmsteiCGRXpYRz0pRTmS6KjGANKOxPTIVY7sUoZZNIxfG1OsF7iR\nLP5E9WvDVpHBTP27WbhHyELeR7wamp83f4M4MGeefCUnHIRESxHKy4gEHnRPYp/MCUMwDFqzpPJm\nieu7rTENLeZk2ZUMO7EEc0FLgqGOWhvLIt+4oTc4yGz1w2ju1qFDh88uOj6y+/t1fOTgfATArlsm\nb09E7m/UDB9p/BR0VMcz5mzxkb5Gz2tCQpx1u/ORscVOLPmHOfljOXpeM35tTL4uqVjayOfkrd/i\nIA75d6NS2M5HIiQ6EraaI82fTNSbxc2CoB/M8pHa10H39U4+slFHSVrf8ZEORx5dceEIYr8Lx14L\nKcD4jTHzr8zPvpZRrH17rY0AOoyq/kHmuQ4DnxWp4zRZ8bkXed/Tvbay3S7QhbgjtzN5RomzsvcU\nNyQrWg801aTCJIbJGxPKKyXBsUBkcF5GCypV4ZXEPvrKy019JNFLdmwJFgKC+YDeUz3y5Zz0vZTk\n0YRypaTKJA86CAP0UJNfyaneqChvlGLOlHvoyTls5oxkTue27Uw0buPNXCIh4pcQSrFjRoJYFx2U\nUVTjCl2KMiK7lIm6Irfy3ETUFkpJYaVar92gPynwi3IONcepXBFiEswFLflsyC6w1aXY4/PZb7b6\nYTR369Chw2cbHR8RdHzk9viIHdnWsyNcDJm8PsFtOuJzsSQ21HxEKYmndpWT+Meaj1DVvgpe7eQj\nZxPK5ZKqqF9nEEIC43fG+EmdCFEnWHnEm0FHGnKEN5T1zjYKhW18pPEt2M5H1EA8nrJLGRSQr+7k\nIyTCSZSe4iOVFFjcm47NdLPjIx2OPLriwhHGbheOvRZSX4rTrS/9DhlUfjUnuZDMPP5uXGPv1zzX\nwy513I2sxGfjdgHf/rnoSBMsBjPHPnkqkazlUBMtReihJjwu3f30PTFKqjYqgoVAoh6NGA35kcdp\nt7WIJpCcTfDWE54NCedDkvMJZt5Q3ihbt2fTM3jlCeYCdF86BypQRKcjbGbJPshkPtJ5KSgYGZdw\nZU3wpnepNmtUPSEXrRyxgQKjJAWiMXdUicIve4qswKUOFSrCKCR5MsGtO+zIUtwoiC/EhCdCmd/U\nUFwvKK7JTKVZ3PrubCe7zbG9mw7bw2Tu1qFDhw7Q8ZGOj9weH9Gxxhwz9E5IpGT6Xkr2YUa5WpKc\nTWb4CF6Ui07XxaA+DJ6WDr6ZN21X38xJwpUt7FZRI1JEJyLxMABc4AjPhOiJxn5gW0WkjvXB+Uhu\ntzwZoDVm1F4LV0lAK43q78JHTobEZyQWu9qoKFdK+s/3ic/HjPW44yMdHgp0xYUjir2kd3stpCpU\nYhwTbosGKqXyu/3ncOeusfdjnutOYpCOGnYjK/mVHDd2qKHa9dg2C0rzPKXqz+KxjOhkhF238lnX\nqQlN7FK1KmoF3de4DYcZGrTSRKcjitUC27P0T/epNirm/6d5ek/3RKZoPem7KeWqmCapQGFiOc+q\njQqfeZxz4tmQi9lS0wkwQ8m2riaV7ERe74xCzJ5iRbAQ4LxDrdbeDc3v69gpVzgwEM1HIi9UMssY\nLoQUHxeYBYOONNVaJXnR85ryrRKtNfqkRq0p8iDHzBkmH0zwzmNLS7lcEp2JSJ5M9iS7a99aI3ni\n8DpsHTp06HDUsN8YQMdHOj6yGx9Jz6eovqJ3vteqAxo+Ui1XuJP1DX/NR4K5AD/vCU+FlDdLJvMT\neqd6lGsl87+wxUcm70wIj4e4UsYvlVZopVsVZnWjOjw+4v1WgaFWXdrcyuPiAF/4PfkISvyhbGnJ\n3stEVTonXhIdH+nwMKArLhwx3Ep6t9dCCrROvDPQEJ2Jdl347qaqf6/nuR72KJ39yIoeaOJHY/LL\n+a7HdvuxV0aRnE2Iz8dsvropngcagvlAigK1eZZCYRaMVOaXLcopdKgZPD2geK7gxOMnyC5m9J7q\niVoASC4kLP79RcZvjEnfSuW1tMRYlsulyAs9eFObODYmSQrKcYmK60V6wJaRYx2BTSDkVGUKNVRU\nUSVxTRNxJ7eZhUhysuPzMcVlSYTQRqMD+WNCI92DoiYX1+uxjfmA+HyMiQzRqUjUG3MBeCg+LPDO\nk/0sI/tZhop3kl1vxSwyeSyZ+ZkvPenF9KEgkx06dOiwFw4yBtDxkY6P7MZH4lMxJjRbnf8pPtJw\nC2V28hETGaLPRRTPFRx//PgMH2m8Ck7+rycZ/WQ0w0fyKzk+9e1I5GHwkTIsMbGMdqLkc9Y9jZkX\nTpF/nO/gIzqoz+FK0rfsshhjd3ykw8OGrrhwxHAQ6d3MxbyeJ+w91WP45eEOd+be4z2SxxLyj/ND\nrerf63muhz1KZz+y4kvP4IUBc1+a2/XY7nbsR69JFJQOto5LeDrEzBuqtYpqpRL5nYH4rBAFKojP\nxUSnIzbYQEea4796fOZ1XeaYfDDBBAblFcVyQXG9EAVDYLCVlRv7rDaGDNgyb6xm/1ahQrl6ptKD\nLzzVuO4iGDCxIXkkEYOmXJIsfOwJ4gCzaDAjg92wMs+oFGZeiIlbczAUWaUeavqn+sTn4lbyqLSi\nvCbmj9VIXKSVll9mV7Jdvwe+9HhVuzlvi+LyzhMtRSz84kJLsj9LJl8dOnR4+HHQMYCOj3R8ZPux\n33x1kxv/942Z12n4SHlTCgxmIOrJg/IRbz0rf7oin4XWM3wEVSdO1dt7GHwkSAKSCwl2ZLGZ/FGx\nKHLMosFsbvERQHwiNNg1GamIHomIH4sJTgUdH+nw0KErLhwhHFR6p5Ri+KWhSNY/SPFIBI7S8vPt\nC+x+s1p3i3s1z/WwR+kchKzc6thO/74leBcz8qt5WyFPnkrwpadcKwkWAvFhWLP0PyfxjApFdDbC\nX/IzXSkzMLjCUW1U7ftFZyOqvMK9J7OFzsrIgse3M4ltF8DIIuorL0aNWroJGLZMHXOo0gpVSqXe\nO6nCK2TBd6WMbzjvKG+UhEuhpFmY2ifCi0mSWTBEpyN6T/XIfpZJUaR0W2Sj8lRZRbgYYhIj4xx1\nFySYCwiXwvZ7sfUhQHwmRhlF+l5KsVzMRHEV1wpGPxwx/NLwM2Hy1aFDh88ObmcMoOMjHR+B2WM/\n9/NzTN6ZMH5zjHceHUhEZfx4TPxojC/Ee+OgfEQnWtbt0uNDUT60fORdSYRwtuYluTtUPoIHn4sx\npZ7TOO+oRhW953sUl4QXFMtS4PCFxywKHwlPh1SrFb3Heh0f6fDQoSsuHCHcjvRu9MMR+ZV85mI/\n3VWY/vlRdY19mKN0DpusNJ/x4OUB699dJ/8oF9lc7okeiTj5v5xEKYXL6gW47jDpREwZL715qe1G\nOee4/p+uM35jLCaN72V45Rn83ID4kZjJ6xOq9UqypWMtC7if2piA1q9h5ndeKvDtgg/y7xBQ9eJf\nivzRey9dgp50CXSi8aqOwQwcpm/Q8xo3clTrQjpUrChvloQ6JP9EZJI2s3AKwoWQ6EyE6RmipUhc\nqAM5xr0ne0RLkXQCtnXYsg+lQ6C0kA1feKIzETrSYrJkRZL5sJp8dejQ4bOH2x0D6PjI0ca94CNL\n/2SJzR9skr6bYnOLiQ3xIzGDFwbteXUrPuK9Z+MHG6x9e438ak5xtaBaqwhPhkRnI4yW5kNjnqhD\nPZvwAHfERzxe1ARVPZ6pxB8i6IuK0lvfmkKWI1EhRKcj7Iad5SPXS6JHIoqrkuZ1WHwE5HuotJhp\nd3ykw/1GV1w4Qjio9G66q9DMXTWOvvuZCx2kqv8gyamOKgk5KA6brHjvGb02YvNvN0kvp1RXKohg\n+PyQ4kZB70KPwRcHO6SqyflkJqXh+n+6zvjNscxbhhqVKOyqZfz6GD3QFNcKkRxWbJkeGeQ16ign\n2SBm0x+ms6KR32mlcc7hSy+51ZUURFCgjaa6WWHHlvJyiR5qXOqIn4iJzsjMo16Q74Xua8zAUK3I\nCMjgmQEqUKx9tEZwPOD488eZ/I9J+74qEtPL8KR0Dxa+ugCwo8PmMiEE5XIppkx9jQqlexCeCUk/\nSHd8px4mk68OHTp89nA7YwAdH3k4cE+KJwqyyxnpxyn2hkVFisGzA3rP9Q7ER0Y/HLH27TXKmxLZ\nGJ+JyT/OcRNRM/rQYzesKBLS2gAa2ijLNtKyUVfego8oxL+JClRfYcs6tjICLDN8JPswQwWK8ESI\nOWbQRqMW1AwfKSkpPi7oPdkDx13zEZtasg8z7FhIVrAYEJ4KW67S8ZEO9wtdceEI4aDVY5c5bG4p\nr5Tt3JUONOHJkPBseEfmQtvNm5RRREsR86/Mz8zxfxp4WKN0pslKs1iYgTmQfG030tUsxMVygV22\n2MqinWby7kQepxTjn44xQ7Ojsm1HFr4ii/PojRHVckW1UeFyR3G1kOOvoLhZSJSTd2gvrsieOnZS\nI4twCLqncbmTmcbKbRUcmsjxJlcahARoWSirNZEINlLEprugtELPi0rCrTvU43U8VqJwE0f+icxs\nEstLZlcz4qUYFYij9On//TQ3/q8bjN8cS542iuiMyDSnv1vbO2wLX11g/bvrWxLE+qtQLBfY1JI8\nOevq3MBljnKlJDwRdgt6hw4djhRup5Pd8ZGHA6368aUB1Vq1I2ZyL+xVAJouDLhVhy0sujo4H/Ff\nlLGEcqWkvF5SbVTYzOJGDj2o1+KiVjwinX/vayVCbeLYNDx0qHndvc5flH/Bpt9kUA34+/7v83k+\nX+88W2MUVvwYgsXagFJ5NBpKGWlo+EgwDFBW4UcejgsP0n09y0dChIOEojC4Wz5iEkP0aCRJGYEY\nd5crYtodPRIJF9sFHR/pcNjoigtHDAepHutEU3xcUN4st256kBse7/yMwuGgFfZmIUdDcbmgXC6x\nhWXjrzc49rVj3czWPUKjNjjojNxeDt6DlwdMfiYzjtVGRfFxIZnOfY33nuK6OA2PfjJi7ktzW3GV\ndYfJX/W4wpFfzkkvpvhCZgDtyFKtVu255p1HzSn0SFOVFcorUS0oYBGMM2LIOJFqglIKEmShbZyZ\nPXJlCmWxxkrl3iEKBoWQhabIgAOva4fpQOFzj1232E0Zy3Cpa1UUqlSogSKYDwgWA8ySJE1QwOn/\n4zTX/ugaox+PcFY6H9FSxOCLu7iaT2F7YQGkw6FC1c5RTn8+2fsZxbUCj8ckppt57NChw5HDQTvZ\nHR95OHCQdJCDPh7HXfORaqOiWClIf5biCofdkDW/XC3xqx7d0+hYo4caNqHKK0nKMgi/mAM1UaRV\nyr/N/i3fK79HQdFu/5/wJ7zCK/xT9U9JwkT4iPVtUaLhI6gthaZ3U3/XEZY+Fw5TroqvlZsIH3He\nYQIDHsycuWs+4q14mcRnYhmNqKmH0oriWsH8V+cprhazz+n4SId7hK64cMRwYOmdlxucmedKG1ku\n+q/exiIxJWtM30vbC5dJDNXNSkxt6Ga2DhMN0Rr/j7GYXx1wRm4vB2+bWsZvjinX6uhJPKpS2LFE\nIdlzltEbI0ZvjiRCqZAqe3wuJjgeUL1Tce0/X2PywYTxD8foWGNTK+7JFVIUUOCUw1ceo40sxqlv\nc6wZgY2tqAe0nMsuFamCimozJSOvpXoKExpxYI5ke92oXsxBigoFW+oGLee17tdE1cv76liTXcla\n12ePR4+1zCZ+UuLOO9STIlUc/WhEMB+w+MuLMuOppFgx/tF4z3PbZY74vBgpFdeL9jsZnY6Izkbt\nbGTzHc3ezyiuF0RLEcEguOXn2aFDhw4PIm5rDKDjI0ca3nrWv7dOca1AR/quuAhA/7n+Fh9B4ZxD\nK31gPlK+XXLp/7zExt9skL2dSaxjIXGVPpfGQ6UrvBGe0xg4eryoJx2wAV55fr/6fb5TfmfH9hcU\nfAf5+b/q/StMaCS9IRZlphtJkYCKtsgwM9IZa2l2TCRqslqpwEKxUqCVFFFsbqluVpKScZd8pPFB\nSZ5K8E6iKT0eE0nhYvD5ATrUM2qjjo90uFfoigtHFPtJ76ZveLbLEKOzERvf32hveA6ySDQXLR3p\nmYooIJJ2RzezdUiYrvbbzDJ+bUy0JKkO09nhux3v/Ry88ys5dmRRWpF9lFFcKWSBrUlZeU5mFn3m\ncX2RmVaTivInJXYsJkSrxSpY0HOaYrnAbThZRGsZqrNinARgQys3/wVbC25Ud/TrmMgm39mVDjd2\nbYEAC8GxQAyTeuBSJ88JDC5y8pqOLali8/pjMOckElNpJSTAOsyckfnGyyXVqMJqS/ZBJgZLsZX3\nhrYTNh3jpANNdjFj8PJgV7mtTrTMQ7YHe+qfkWL+lXnGPx63MWzFtaL9PKc/n+7706FDh6OIW40B\ndHzk6KLhI+nFlPXvr2MiQ3gybPnInXCR7FJG/4W+RDiuW4rlgupGJTfPkSQilCv78xH7iWX84hjl\nFS504h9ladUKrnKijixBDcTro/GBAuScSeD18nX+uvzrfY/B9/33eav3Fp/vfV6UmBo0WviIcltr\n/pQRZMNLTGLwYZ30cDwQvjVnMAuG8uOSarMSznEIfEQn4veUvZ9R3ZQdVSiCEwHJEwmmZ3bEwnZ8\npMO9QldceAihE7nA9p7ukTyRzBgoucK11edp7HdBacybfFnH7Uw9VwdyQdvNIbrD7WO62q+NVLcb\n99/e0732cbsd730dvDNHMBdQ3CgkezkUpYBCUeUV6fspyaNJ+3rlzVKkclldkTeI74KCYCGgWq2o\nikoinnKHHup2BMBVbrawUBslKaUwxmArK5LA2BCfiik3Syka1L4KxUeFnKuVxDOZRBZjkxgCG5C9\nmW2pHBRCGjyU6yXeeOIzMdGFiOHPD0nfSbGppVwrJUZKydxleVOOKUugB9IxsZklv5hTrpfoYMuw\nLL+as/H9DRZ/aRHYKd91Y0dxvUAFUgABKK4XhKdCdKDb7l65UuLxbYdg5vPpvj8dOnR4CNHxkaOL\ndvzEibwezQ4+cttcpHDYTSsJDpsVPpfkBF9JAaAaVVTLFTzKrnzEI+aM6KlzwXpRJ6ZSXNI9jS40\nDreloKyX/NZgWsFfur8kJ9/3GBQU/Pnkz3kxfpEgCcSkcSmUc3hOUXxSyGs2Xg71eGdxpcAddySP\nJcSPxQy+PCB7O8PljnK1pJocPh+Z5iLNuFF5oxQ/h/p71PGRDvcDXXHhIcR2s6XmouKtJ1qKyK/s\nfjHdfkGZvmgl5xPSi+lMtdQ7T3RSLlo6kkXdju1D55J8v7C92q9CJce7XtCTJ7aMfLY7csP+Dt5m\nYOg/22f1W6uYWOb8nJOqe9APJH95KI+ZvDuhGsui32wHHn7w3g/4s9GfsbG5Qc/3+Lr5Oj/X/zlR\nCQx1a7DoCieLd8jW6EI9e2idFQnjssUn8vp+5FtVQ3mtxJYWXWoowJwwMsLRuDQ7kQbquPY48HXR\nw8vPzcBg5kzb6dj4yQbVjQq7Jo/RPU0wL0ZU4amQYlzgcsfma5vSoXk3ldeZN0SPRFIQiQzFtQJX\nuS0VQt05i8/GqL6YMU13F6LTEXqg23xqZWrX6GT3xXq3z7NDhw4djjo6PnI0sZ2PtMd6Gx+5XS6i\nIy1rdCLeR+TM8BGdaDDS4d+NjzTbUa1UhKdCwmFI0S9QlZgYBouB8IRU1m6vvHCReoSh4SMUsGk3\nD3QsRtUIcghOBNhMPKN0qFFW1DbKKGxuZcQjc60/hI41eiDnX3YlY+P1DUmUWK/5SHx4fEQZRf5J\nTngqpFqp9uQiQMdHOtxzdMWFhxR7mS0NXh6w8scruz6nuaDsZsQTn4tJHktIP0jJL+fiSlvLqVwl\nsvaV/7pyoJnJ3fAgRUp9Wthe7VdGEZ4MxfiqcSGu47z2ypYOjgfy+dQLHsix7T3eI7+Ro2NN+Llw\nK51BgekbytWS+FyMHcmimZxJKKyYLGU245tvfZPvb36f3G8RwT/mj3mleIXfPf67DJIBaOk6tKkM\n08bE9aLu8VuRTpWnWq3AQzAIZDtuiOmXm4jjczAMyK/mVBuVuCBXiuBYIJLEqjZ4dAqvPWqgmPvS\nHMljCeM3xozfHlPdrNMlqq1jbGNLMBcQngjxK570/RQdasITIem7qezHhjwhPhMTngxl5vS76xSf\nFOh4a+Y0/SAVmeKLgx1dOZvaGXJ82FnhHTp06HAUcC/4SHw+ZvL2hHK5xPQM0cmOjxwmpvnINBdR\nWrVrL7Dr2qWMIn40ZvLepB1RnOYuODFv1H1N8rlkho+oSBGdiug91WP02mgHHwFgItuHh/B4SDgI\nhUvU3IKErUbHlA9Ci1phMGB/s+YGAzeQQsAwoNqsqPKK4NFAuMt8PcLp5Jx1SporwbmAuefm8NpT\nrBZs/s2mxGNa3zZdnJYklcPgIy5zlNdK4kdj5n5+bl8u0nxGHR/pcK/QFReOGA666O1ntnSrC8rm\nq5u7GvG4sSN5IpEL1cjhcifbM3ZtdfYgM5Mz+3ObDsQPM3ar9jezcMW1QjLC689p2pHbe8/mq5us\nfWuN/JNcZHFmKy86OZ+IedCGxU0cdt2iEkV4PCRYCIgeiaRT0DfiZly5NsbIJIZ/8ca/4Nsb396x\nvTk5386/zb8e/2v+3YV/R3ZTJH84ZiWITeRT8/9IFrZgQfwWzIIhmosIlgIZwwiQ0Y1IyUI+kshL\nZRQ+9ahE4RNP0A8olsU7wlWOaBhR3iixI8vk/Ql23WIGRmKrlKgeqMCNHf6Ep/ikEOdmL6Sg/2yf\nydsTUUI4sOuW4IWA+MmY9J2UzR9sSmelnhdOnkrQiW7jMae7crB79f+eZIV36NChw6eAT4OPeO9Z\n+/YaAPETki2sAkV0NpK1oOMjh4LtfKThIuVyKcUAza5rV8NHVr+1yvjHY6qRGBYOXxpy7FeOMfji\ngNGrI9zE4TYd1XI1y0eWIoJFGT/YjY+AGD57J3xIR1KgSN9KpUkxNKIidG7La2H6o2vGKTX8qvtV\n/oQ/mUmJ2I6YmH84/IcQ0o6VusrJ+M1Ybth1omVEtHTyO68wyA1/+rMU3ReeEAwCqlElfKQeozgs\nPhI/HqNj3apKprnHXkqEjo90uFfoigtHBHe66O1mtrTfBWUvI578Yi5xNq/MM//F+ZZUxGdiimvF\nrpXr9GJK75keZmD2JB77OQp/1txqd6skK6VInkhY+MUFBi8OdiVxTV50tVph+obe4z3pLHhP8qgY\nL2WXMkzPMPflObIPM7z3mHlDfDbGV57FX1kkeiTCOYd5w1B8UmBLy4/WfsRfLf/Vvtv93c3v8oOL\nP+C54rmthbuJlGxOvWaTDdJdSKQTUl4t8anH9iTj2k5ELmjHFqUUxVqBihWBCmQ8IwcVy0yt8jIq\n4fEESUCwFODGjvT9VBbwicenEqHZ5FOja2fnSrZP9VS7bcoohi8NKa5LwcJbT3IhIXsva92gd7qT\ncAAAIABJREFUG7I1PXdqFg0ud5j+1vdsr+r/bTmsd+jQocMDiE+Tj0wb1vWe6hG+FOIKR7QUMf8L\n86z815Vdr6mTdycMXhrsKdeHjo9MY8c4i1L0nu4RX4iJliIWvrqw63Fu+Ihds6Lmc/UajKx/4x9J\nAlZyNqF6oqLaqPCu5iNnJA1i4ZcWWk+NaT5SbpTiRYXHji35jZzehR6LX1nEzBmKKwXZ1YxqtUKH\nGuvtlh+CQsYjDG3z46XwJV7Rr+yaFtHgleQVni+fx204XCmFK53rtuCBQRpulRhP66AehQgV2cWM\n4nIhxZCRpwoqGe+c5iMcHh8JT4ZkV7JW5Qr7KxE6PtLhXqErLhwRHOait98FxWZ2hxGPt2Iq6P2W\nNL8hCdmHsg3ThKHJzs2uZNiJSL52Ix4NcQCRuDUSrs+yW+1+RGuvWK70Yipka4oz6UDMfSYfTFBO\ntRGNi39vkbVvr5F/lFNeLwlPhATzAcFcQH4lRwea5PGE8EyI1pq/+M9/MTMKsRtyn/Nnm3/Gi4sv\nAuBitxWdpGqnZotcbSziOD0f4ksvC/WcJjoetcaPWFFRkIC9aaXqPq8Jj4f4eelU2DULkUgiq1GF\niQ1aa+xGHY9ZJ2H4asuQUg6MFCe89vSe6ZEeS3GbrlUetEqROlbSWekk9J/vM/rBaOoAb82d9p/t\nk5xLyC/nB67+38phvUOHDh0eVHxafKThImiRvDd8pEmO2D5a2HCRcrmUdQHoP9PfdT1t1lJcvV1T\n8+kdH9niI73He7fFR5RWmMRg1yzjd8ctH0meEkXl+A2JpLQrFv2sJjwdkl/JhR9M8ZHqekV2ORN1\n4xrE52Lm/848C7+0QDAImLw2EeXkWN63HcXoeWwq3f8mQQpPy0f++dw/5/fT3+e74+/OcJ1Yx7wS\nv8LvLPwOut4ZX3gxo543orSYD9ChplgrCKIA5xyqVOhQ41JHNanA1Oeq8uIvoZA4zAIwh8tHhl8Z\n4p2MntrUHliJ0PGRDoeNrrhwBHCrWJ87XfR2u6BMu+82M1utK3PtxDyzbbXZ3jSy9zOK5ULydeeC\ndjthlnjY1DJ5a4LdrKu+Wsx4+s/275lb7YM+S3m7lWSXSeTSdtds7z3ZRxnZ9Uxu5hdDghMB8bmY\nxV9axOWOaqOi97meEAG7VQX3lfgYqECxWR7M8GjTbYrrc6TQCxpfeJRSOKSj73y9oBciYfW5p/TS\nhVBaYY4ZfOrpPdmTHGivsZV0HVzuMBj82KPnNNVmhU0tQRiI/8LASF70WiWKhkChe1rcqFcrIRjK\nt12G4JhIJ/vP9dmINwiKYMe55p0nOBGIA3XldsycgoxiuNzRf7rP3Jfn8F96sM+tDh06dLhbfJp8\nxLuthIjtfKTpjk+vgw0XUVoRDAJ0onflIt571r+3zsb3NsBIcb5ZL3Wk7wkfedC5CNwfPpJcSLBj\nMXruPdWjvFFCNctHsOAmTpKqfAWxeDP4sWfl/1khOhPhSifmjkrSG1xaN6wGCuNMO1oZzUWUpmz5\nSC/s8W8G/4afLP6EPx//OWM9ZvHYIv/ozD/iRfMixUqBskrSqLzH536Gj5QrJT736JMaXYpHiLfC\nPczQwLyYVqu+avmI0gpvhJMcJh/xhefY1451SoQOnzq64sIRwK1ifQ510dPivj9+Y4z3UjkOjgeg\nRHK1/UJlEkP8aEx+OW8Ne8rlss3XbUx/diMek/8xoVqrUIGiWhF5nKsck7cnDF4YoOLDuygetVnK\ng1aSdaIxfTPrmu09o9dHokw4FWJDS/5xLt/2rI5pGkiHYPzmGDM0MrsYaMy8keKCUfRf6jPfnz/Q\n9s4n86iBkgV8XQkZ8E7ckkO50fdOfA9sKt0obTQ2tCivSN9PpYiQGDGQUgoqGZ9QShEtRZIQ4YFS\njCsHzw7a8QiUdLmq9QozNtI1qCQ729va0SmQ5829NAcaek/2UFcUvWd7JI8m5FdyJm/JORmfiaVr\nUM86Zu9nMzOnjQSy92Sv7Qp01f8OHTo87Pg0+YhSivJGSXgmJD4V7/C4MQPTSvlBrtWN2V7DR1S4\nk4vYtyxFT8zxUFBcLZi8PUEPNMm5hOBYcGh85KhxEbh/fGT0o9GufAQH4fkQu2LFe0EbSWaonBSQ\nrkpBITgWEAxlhNKVMhrqV+u0qdJjFg1KKzGB3sZHXjQv8uLgRYJhgB5q3LrDJrY9z01ucIkUsKb5\nSMN1B88PWoWELz3FtQLTM8S9mPTtlKrc4iNKK1QsKRD3go8o1XGRDp8uHprigrf+oY0dulWsz2FG\nxox+OEIPNNHSVrReuVxiBob48XjmsdPmgkrLgl1tVNi8vsAuywW2USTEj8Ut8fDWk1/JiZYiRq+P\nxLRGgQ6lM+2dZ/zj8aHNOT6ss5TKKHqP98guZq0UMb+cU94oCQYB8emYYrlo5/aUUYRxiBs5bGbx\nucR3RY9EIlF8a0z+kaRN2NTyD4b/gP+i/wu523s0IlYxv3bq1yBDxg+sqBMa3wVfeoIowId1VOXY\nSdEABYFETrnK4dYczEHySEJwXIyc7JqMOehAy+vV4w7xmRg90GQfZjIHqTU2swTzAcOXh+Qf5ajr\nEgvlvSfoBYSPSDa1joS06FhLt+RCj7kvz7XEeOYaYiA6HVFcK0ieSNqsdpc5ek/2mP/5gxVfOnTo\n8NmAt+L1Mh399jDh0+Yj3nlc6tqbK5idK2+KvU2EoemLsd40H9E9zeKvLBIuiPO+v+pFkn8y3OIj\nRrrf3slo3WHxkYeVi8Ad8BGliM5F2InFfrQHH7mYo3u69TZQKPwNTzkqpdi0WmKswSRGYht7Rj67\nVVn7FUoUlU7jKgcT7oiPFINCChb1uAa2LhT0FfGZmCqvqK5W2MKilaa4XtB/rs/wi0MpNlwvyKtc\nvLCWEtRAdXykw0OLI19caKrA1Xcqli8uH4kq8O3iIJExhyGxa+SOOtDtRasdjajNAfMrO+fKp6Vz\ndmwprhaS46ugvF62ioTgpwH9J/sSk5N6iRc8H8HryE1oXdE1fUPyeHIoc45N0Sm9mO4gRA/LLOXw\nS0Nx0P7WGvkVWchNbIgfiyU7eaVA9zXpe5KZbEu5CffOE52I5HNYiuRzG1nsyIqDsfI8u/YsX+19\nlW+Nv7Xn+/+dxb/Dz538Ocor8r4+rpMZlBzjarWSDGuAAJx1mFKKFyhIx6nEMo0cbEC1WjF8YSgL\n7nFNNBfJ9t0ocFbmETd+tIF+TUYqXCnnvdceM2eggvhCTHgsJDwRkt/IiZdizLyR8Y+hpv9MHwC1\ntEVGfVnHZG47F5KnElxe+0jo2sm5ntvt0KFDB5jtSFdvVSwvLz90XAQeDD6SvpfKuKbd6XHT8JHB\nSxIzmF/O5UZ3mo8Ujit/cIXjXz9O79mezNJnbgcfwUGwGNB7pncoXMEVjsm7kx0FmIeFi8A+fORC\nTHAsoFgtoJLPRSUK5xzRmTqxKjBbfOSTgvzjnPJmKQrInib9OMX0DR6PHtYjkquWaqUiOh1JwsSp\nAHdDxniJxOPJ9GQswhXig3AnfCRYDNBzGuVrM+q1Eh1pqqJi87VNOTe1KCLMUEZBfe4prhQtHwmO\nB9gNS/Jk0npRdXykw8OII19cuB9V4AdhNm7PnOgvDtqopruV2G2XO05H67nUMXhxIBXV+liAzME1\nx6WRzimj8HjKq7KQNzeZSivSj1Im70ywVyzj6+NWJpY8k7Qdb4W66znHGaK3UTH+yZj4UZGWTR+X\ne+XtcD8wfV7Of2WeuS/OUVwvWPnTFSZvT6iWKyZvT1pyZTdtG/GkvJKIx4FDRZK+YDcsdtViK0t4\nLGzNFf9Z75/hrOOv87/eYXj0y4/8Mt984puyECtkBraSBRPAbto2Z9pXXhQNDuxEuhQYWh8GNGLU\nNXGM3xtLxFOkpUhyJiS6EGHXLRt/syEqiR7tCIcrHSY0KKvIL+Wy6PZlbtYkhuS5hPB4yOCFAb0L\nPfov9DE9w0evfdSeD3t15JRS9J/rc+IfnZCuxUOojurQocPdYZqLqHjLmBgOtyPd8REpHh//B8fF\nzLE+Dt56bLalXtWRpvdUj9GPR6hAUXxSSDKB94QnQuyaZfKzCaM3Rrh3HBvrG1uu/A0f0Yr+s32U\nUtjC3jUfmbw7Yf376wSDoI0zbo7LUeYisDcfWf6TZda/s44dWcqVUkYgM4dzjkAFokjYtPjKEz4Z\nUm1K8Sf/KBflSOjR8zI64d/2lJslfugpr5UQybhLsVJgjhvsusVbaTLYjbqJUheh2qSou+AjJjJE\n5yPCMyHJ0wl2zVJ8v8CnXtQVTp7rSocxhmqlYjKeoPuiTug9IYWs8LQUGjo+0uFhxZEuLtwrY6H2\n9R+g2bi9jHW2Z0DDnRdXDiJ3VEacfvc6Li5zROciANK3U5GlaSWJBCcCiZFaq+AkxI/GFNcL7MRS\nXislFtH51tvhbiSW00QvmA/a/F+Q+MDt+/UgYi8Sud95GZ2OCI+F+MJTrpeySOaI5wG+NatyuYNC\n3JPNvMgA809y0vdTKJE0BgeudAyODfiXc/+Sd3mXP736p2yyyXw0z6+d/zVe7r+MzzxWWZJnEoaf\nHzL+8RibWylWpFYMHEMv0ZF1eoOf+K3ISuo4prqZ4AKHKsSAK5gPKK+VuE1H8ngiGdOlFDJ8JsdH\nRbVhoxPjo/BECArix2PipZj4fMyJ//mEGEItBnue47fqyOlIOiEdOnToMI17zUWg4yMzv6v9FZQR\nVeVeBY3+833MgiQVlCuyHgbzgcQul26LjyzS+gQ0fCQ6ExGdjNrP7TD4iE40wSBo3f1hi488yFwE\n7pyP2FXxSfDeSzzk2LZxjGoo0Y2+8NgNS/SIHG9bWLKPM6r1SvjIQj1qW6sTbd9i14QL5DonGATk\n13JUpXDWERwP6D3XY/jikNGPRofKR6rrFX7kSR5PxER6Lz4SQ9SPiM/KOHH/mT7h6ZD40Y6PdHj4\ncaSLC/faWOhBnI2bNtY5bEJzELkj7H9chl8YYmJDciEhv5qLcU1Qu+NW4qDrveT6Js/XMTvXCqpl\nkbVFpyOJKNonm/dW2H5cpp11m/jAptNxp+9xL3ErEnmr8zI+G6NCIVF2XRZgbz3hMGzJmFJKZvxK\nT/+ZPt57qs1Kqvoh+NxLNb/yEv0UwovDF3nh2AsQSvRocDKgf65PuBSSvpdi5gzVjQqzYGATyW5G\nsptNKDJBXYqJI4H4a7jCyeOKeufL+v2Nbxft5rNL301FEdEYPRbyGTZExRWOcqMkOS/Z2tpoipWC\n4FTAyh+v4PGiYtiHkO8XBdqhQ4cOu+F+mBx2fIT2fW6HjwyeG+Byh80tpm9ad300LR/RZzRhHFIu\nlwT9gGq1YvDCoPV1OEw+Mu3y3/AR4IHkInB3fGT4hSF48UgqVEF1s2pv6E1itr4TSiIZXS4K2XKj\nxGYyprCDj6QeFsAWVvwzjKSG6FjTe7KHOWbQoaZcLSmvlQ8MHwEobhQEJzo+0uHhx5EuLtxLY6H7\n0Ym4W9wuoTmInPJWF7ODHJfkfEJ6McVEps069s4TLASUq6V0CALpfjSzlKOfjOg91RNZveOuLqC7\nHZeGJGRXMqrNimAueGAv0rdarG91/Psv9An/vxAdaKq5CptZ8ms5JjRUaxU+kwil8ESIihT5Ss76\n99bJLmYSJ1kXgxq4wkEI4YmQ8qrELjkraQyZywhOBSilCB8JKT4scM6JA3RP4wNPfD6mulpRbBTY\nVUuQBK1zMhVtt6BNNFVAIYRCGcXgxQHqHYmvDC+EZO9nEnmVW1mQdW2iVseiVqsVZs7glSf9WSrn\ncSjRZeHJUIpbbIsim/pubO/Iwez4T4cOHTpM416bHHZ85O75SNAP9uQjKtziIoOXB2TvZcSPigH1\n3d7QbT8u0y7/1bjCZe6Bnpm/Gz7Se6ZHfF5SPZoEg+iS+CsopVoVpe5rouMRuq/Jrmas/dUa5fWy\nHTPYwUc0UiCwDnJwOCpVUc6VBCcDPF5MGC8XUjzq+EiHDvcVR7q4MF3ZnsZhdKTva9zSHeKghOZ2\n5JS3yjU+yHFpCcHPJCJIx5roZET8eEz115WMPbD1msoohj83PLQZst2OS1PIaGY1G0nlg4ZbkaXe\nM71bn5c9yUwGJN6xZ4iWIrIPM4w1RGei1ghx/ivzYME4MT2qrHRympgmFYqDMgWUV0vsRFZe5RVu\n02ELyaeuRhXZJ5l0gnJZWKOlSJy9Nx3mmGHu7BzZpYz8ao4eaSEGdboEIMQvkg6GChRmQVJF0ndT\nqtVKDCdTKxLHTGSSGERtUXdCgnkxXZr7hTl0oEnfTSXasiYnxbK0JJRSDL8w3FdSu9/4z8Nk0Nah\nQ4e7w0G77HeKjo/cHz7S3ED3Xzi8mfbtx2W6qeIyx6n/7dSex+3Txt3yEZDRy3Z/c4fdtFSjiuqm\n3HS3x76nmPviHOk7KcYbdKLFc2EbH1GJwt/0VIEoLZWWG327bMXoMHXCQ7QXY/Hay8vMm9vnIzGo\naJaPTN6eiCriuqgrOj7SocNOHOniAmxVtv17HpvaQ5MN3W0n4nZMl6YfCxz4eYchG9xLTjktd5zG\ngXwZGrfmlwdsfH+D4lohSRBKMfj8AD3QcHF2/w8yQ3bQY7rfcek93iOYfzBPe2895YosWMFg5zY2\ni7UyErGoQjWzf9O+GM3+m75po4vwYOYlrglP60RcrpQ45SSpIzbY0qKNFhmgrj0aIif+DH2DnViZ\nUwUMhvRnqXxuTXU/lBGY4kpB8mRCcbUgPhsTPRJRTSrKG6XIGJ3Gh7UXRMWW0ZITl2QqyThXRpFd\nlvnLqpTiRQMVS/eDUP7tvcf0xThp42825HhMF7JqKWq4FFKulFRvVmQLu383mn8/SDLkDh06PJiY\n7rL73M9ENd8tPg0+okJ1WzfXHR+5veMCMof/IBYWmn3z1t+yeLAfHzEDM7Pvpm8YvDRg9VureOVb\nk84mASL/MBcfA+UwiaQ7uUo6/a6S9yAWf4PweIgrnRQURrIt1lqyyxkud+IzVSsxUWLgGJ2Nbs1H\nnG9jtJtCge7J+EN5vcQVjuJagR1bnHKt8gDujI8U12ozyrHFvmXJhh0f6XD08WDeZd0GmoUjsAEn\nXzx5aFKhO+1E3E5VfvqxNrcUH8sNYHw+RsfyvOkL1244DNngvZiDBLkpXfylxdniiRZy4d8/eDHo\nToysjtKs2sz+ZY7xa2OipWhHsoUKFZO3JjMdmMZxuhklabwkes/28NaTX8kJHwnxP/YkjyWY4wat\nNMHxoJ1JdGVNHvr1zbxV+KA2OvIerbWYKuV1ikQupM77Wnp4tRAzo7Es/kaZdiQmOhXhFz39Z/sE\nxwLCGyEpqcw4aukWNF0JjCziqqdwI0d2OSM4FlDeKLG5JToTEc6FFGsFyon8UPc0wXyAm0gHSylJ\nKhm/NxYvj4kkZpiBIT4Xg5JzwqYWj8f+pSV7OZs51soo0ospwK7Eb/LuhMFLgweSFHbo0OHTwXSX\n/cOTH3LyqycPTR13P/lI+lHK5O0Jdk3ShXrP9uhd6B1o7ez4yNHmI9v3TRlJX+o909upKjkgHxm8\nPMCmti3qJI8l9J7sCYfIpXgVLEriQ3G1mOEjTdHA150HVznhI5UUN4KFQEwf4/oxMfiRx02ccJma\nj+hIo2NNfCrGLbo9+YjNbDs6M81H7NhSrVfoOY0ZG+FCp0OCYYCNLNFSJKMKt8FHokcjyuulNDnS\nSpSjP6jg67OfScdHOhxFHPniQoO9Ktt3gztZEG6nKj/92PJKSXmzRCGV3N7TkqtsRxa+svWcHdVy\nB/3n+gxeGuzaZbgXcsrbPS7bP5vhF4aYkeHEF0/MjCfs1Qm4o07HPnJK6z2ZcyRaYx4AOdnM/g1k\nhKG4LnK5xknaW7l5z6/k9D7Xk3NmuSS7kuGd59jXju0aAxY/GhNfELdik5g2Jxxg8283xRQpUATH\nA/RVLfne1ZZTskoUaqG+6XbSyfK5R/fFN8NXHlfVMZSBdCDQtAWD7INMoplyx+DzAykQnA6lSj+x\nbU6zixzKyvnsCzE68s63HQPtayfvsYVSSIavPH4inYlwPiRYCDBDg+7LPGPyWML4zTH59Rys5Grr\ngZwHw5eHmNCA2+naDeIYjt9azL33ZO9n7Zws0M7JdpLEDh06NFBGoXrq0AoLDe4XH8kv5thNuTGz\nm5b8Yr7nNa7jIw8XH9lt3wDSd1P6n+u3/78TPqKMIj4by7lhPTrSM3zE/q3dlY9Q0RoitnxkjBgt\nlmKgqAdSKHKZoyqqrVGImo+4yqELTfphilK785FqXLUqBccsH9FG44wjXJAkLuUVLnXY0uIqJ4lb\nuZOErcBJOtot+Mj4p2OC+QCzaOhdkOKNvyk8Y5qLQMdHOhw9PDTFhXuBW837bcftVOWnH+utp1wu\n2zmsmUSDqyKvbCrs7YU6VLixk+zf0u+5oO4nG2ze21t/e92C2zwu7fGZVmq8ZVldXW2zscc/Gu9O\nDhx31emYJhLee344GnEpyyicI9Ka80nCl4af3gV5t3OmMXwqrhWEj4SYxBA/GpN9vPW4ZobRl3Ju\nDL8gkUsNyWn2J7+cA1JYaCSIDcKTIe4Th1k02DdEsZA8muBKJ2MPCsLFUEYlTloSneDS2qwx0VJY\n8I5wFOKck3zqeoHFyblHIIt1uSYVepDRCTM0onyYC3DeUa2IsZXSCiyESyG+kvOaeVCbCrfhIJEO\nlD4uJlzVcoWONXqoMXOGwQsDypsSXWknVpItmlGOUQWbcux6z/S2ZiTrWLDkMUkpUWFNSqbQLORo\nCAYBOtGdJLFDhw73DfeDjwAzXKS9Nj4h6gB/Vm7ydnS4Oz5y5PnIXudL75ke6TtiRNgUBe6EjzQF\niPSdFB3pO+cjiWGyMCEMQ7TWLR9xhcOmFnKoxjJCOc1HXOxExVDzkeJG0TZMzJw0MxQKtaiorlU4\nK3xEWYU5beS5fQ1DcNecpFbM1eqZCwnFSoFdt0SnIwjYn4+MrUR0GuE6DR9pjlGTINIUXzo+0uGo\n4UDFhXfeeYff/M3f5Nd//df5xje+wW//9m/z5ptvsri4CMBv/MZv8LWvfe1ebuenioOqIm6nKj/9\nWF9K97dZdF3l5KJilMi/Mifys6mKcvpeSnG9IDodtVXO3S4uu8kGvReTPICVP125Y2OY21WLTFfF\nVazaBXn80zFmaHbtBPSf6x9ap6NZyI1S9Iw851Im7/PluU/ngrzbOdMYPkWPRBz7+jHCEyEuc+Jt\nMPWNbRZnm1rs2JJ+lJJfzCmXSzmfptyIk0cT8iv5zDngrCO/lFP+tCT7meR9B8OA8HgIJRLhBDK6\ncM3jjjlsZlFOkV/L0bGWxXdeYa9bcd0OpKLvrfgoFFcL4sfFLXr0xgitNG4ii7aOdRsnpZQi6Afo\ngfweJbJLVzqCXoANxDRJxyJv1IEmPB7Se6xHtBQx/5V5cYMuPcWNeqY2UIQLIVZZ9FBcqYOFgOSx\npF3I9TGNt57ictG6UCstjtD95/rkH0txplnIvfMz2ecPilN7hw6fFXR85N7xEaXUDBeBLT7ivW8j\n+rZ3uDs+cvT5yF7ni1KqNcJWRsmN/KfMRxiDixy2EqVDdV1GFvAyHuEKN8tHvIxKNHzEpY7NH25i\nYtMqJfFQ3izRmxrlaz4yJ6MbwVwgxyd1M9Gr3slzdaiJTkToc5pT//iUKDLjvfmIShQ2s/Sf7hOf\nj2f4iM2tjCVtiCqi4yMdjiJuWVyYTCb83u/9Hl/96ldnfv5bv/Vb/Mqv/Mo927CjiNsxXZp+rApr\nE5jmd3U0EiCRjaGaXYwbpUOgZlQOe1XPt8sG849yULRzdN56Ju9O8NYz/wvzh3pMGuxVFQcYvzFm\n/pXZ9232Zb9Zsr2MrHaTM1rv24V8GkYpLmUZXxgOPxVJ4r7nTFLHRdYL+n7HASB9O8Vubo0agCxC\nLnctMZg+B/LLOckTCXEZo1CUN0p0TxMtSZpEtVphR1aq9UC1Jv83iwYzZ2TxHEuspVkTo0jnHH4s\n3QsVK3Qk2dPpxRS36kieTlCRolqpmHwwAQ9WySIazUfoWEu0VO4I5gJ85LGVxU+8jENkDhUpTGSI\nHxNvEqjjqurPWgca52SuIz4b4894GfWA9nxvinfqnMJ9LKqL8FTYEiA9kNdNzidM3p1QjSuCQUB0\nMmqVJfDgOLV36PBZQMdHDo475SPTXKT5vwqVGNFFO9fyw+QjOOnWNjPm96oL2/GRnbjV+TI9MvIg\n8BGvvcSKLwToeY2JxIzaR14aFkl9fma1f1TgMZEkOLjc4Tc98dlY+PXFTEYuHVRZhTKK6IS4eVap\njB1EJyLyG3lrItnwETMnKRLx+bg+AMwoDXbjI60i5kIy00xU5xT+IzH2RtHxkQ5HFrcsLkRRxB/+\n4R/yh3/4h/dje4409jIXcoUjWor2fWx4MqRYLlDIvxuJoDojsq3pivK00mFG5cDuF5dp2aAdW27+\n+U2Zd/Oe9L20rSyPXhuBgrmvzN22LO9Wzsl7VcV96bGZndmH6ePmS39gw6b9jJYy5yicazsE0yic\nI3OOwS6/u9fY65zZvn+3epxONNVaJUUpJ14IKhDTw2qtQkeSlzx4aUC5UrL2nTWq1UrMi5SMTbg5\nke75UirybuLwShZmVSmqDZEZ9p7q0Xu8R7VZSQoFEHwuIHokwq06Nt/ZJOgFYni0EIAFu2Ipb5Zk\nFzPpjjknZNVAuBDijCzY3nm89pCD9RY1VMSnY6pehY2tRFfFimgpwvQN2UcZLnXEj8T0npbZz+B4\ngLd1DBWiRFCBfK8AiuvFVvHOS4dh4RcXSC4kM47X+cc5J//xSQYvDQB2PbcPI8O+Q4cOB0PHRw6O\nXVUC9Trde7I3cy2bfmzLRbSsJc11MzmfoFA71vLD4CMqVK3Uu+lyZxczBi8PdhQ7DoKOj9w+DspF\nDvLY+8lHoqejGT7i8YTHQuJzMX7s2Xhzo+UjZt7g1h1+4ls+4jJRSuJBDzRhHGJHor6tc7xlAAAg\nAElEQVTQPS0qgw3bJk4ExwKCxQATGLnxn9eoWEYXsg8zNn6wQXI2EZPoPfiIiYyMYeJnmonN8es9\n1WtHIjo+0uEo4pbFhSAICIKdD/ujP/oj/sN/+A+cOHGC3/md3+H48eP3ZAOPGqar8tMJEL7yLP+/\nyzNyv+nHhmdDMa3xEJ2N2otMk/c7k5M8pXSYUTmw/8Wl6SZ4K13c7P2sJRE6kpm19IMUpdWBOwYH\ndU7evg/eyeKPrv0Awp0EoNmXgxo27We01P/SkEjvflwirUn2+N39wEH3b7/HuYnDLBjSd1PsyLZR\nWypWJE8n2NQyfl3mSKuNis0fblKtVkIatGRAO19HT+US/eSVnI/Oy02/UoqgJ07IWBh8bkDyeML4\n9bE4PV8qcLnDGFE2mMDIrKGyramRy528ZiHRlnZiqW5UMjfZlxGF6FQk6ROujsccSO54dCqiXBHv\nhuyjTEhHJTO6o5+M8Lmn/3yfxb8n8ui1b6+RX80xkWldrL31hKeELDfzmWbB7OqGPU2Me0/1SD9I\nZRTEzBKBToLYocP9QcdHbg/NmrE9AULFCvWqmlmn20QH77G5bR8bPx5vrUc/3LmWHwYfyT/KZ7gI\nQH41Z+P7Gyz+0uKB97fjI3eH2zHHvF0+AqAiRf9FGS25F3xEJ5rsQ0mDKq5I4yMchphBzUfWXas2\n0KuSDuFGTr4PoRg9Wmfl/yj0UBMEAW5UR2MiCVjx2Zje4z0Uivx6LnykNrquVio2b2ziMrcvHxk+\nOSR7L9viQ5FGHVdEw2iHHwV0fKTD0YLyt8o6rPHv//2/59ixY3zjG9/ge9/7HouLizz//PP8wR/8\nAVevXuV3f/d393zuq6++emgbfFTgrad6vcLf9DOVd+88akkRPB/MPJaCrUzl+t/TF4nqpxX+mm+N\nltwlh71p0cc15rzZ87V33a7viDmOfcPOVp2dx7wos2fB3w0OdJHavl37bUf10wp31cEVcKuyIKCB\nHuinNNoc/Dht37Zmv3bbZm89wd8NeMtbrnmPniIZznuWlOL5XQjr/cZ++3erx3nryf5jhv+Zx489\nft3j12QxZh7MswZ9RmMuyOdrX7fYS+JFoE+JisWveNyGw5/w+Jse3gdGyGsYIETGHRYV6pRCDRX2\nshXnZg/0QB1TcBNxeNYyyqDOKBmVWAX6derEsoceYrYUyGv6wsME1KNbpFP1FOZR2Wb9osZddlR/\nVeEnHn1aS9fgZP3YgSL6RjTjXWLfsLAy9T5nFOY5SYmgAG889r/bPc8b88sG967DfeLwH3r8yOMH\nHnPWoM4rgheCzp25w6Hgy1/+8qe9CUcGHR+5PZRvlPgrHhWpdq3ea51u1hdvvDjm77IeHSYfKb9V\n4n7qdq7pzmOeMwRfOxgX2W279tuOjo/sjYNykb0eu52PuCsOJsjxPQ7BVwL00xoTiJHiYfARX3r8\nqng9YRGzxQWFGitQSBGikOepviQzEAObyHPCeodCeZ5PhX+oeSXveRa4Ceas8BEWwK957BsWn3nM\n4wa9pFvfkoPyEf2MRpWq5f/7nTcdH+lwv3C3fOSOrmDT845f//rX+eY3v3nL59xr4vTqq68+UOTM\nW8/ylWXU6d0vEie/cLAM7Ga//JfqDOqLqci1zmt85nd1Z75VbNRYjUnfT9m8vrlVva/lj72ne9jU\ncvLFkzvmtrZLDb31LF9ahiE7JFy77aP/kufaf7zGeGXMVXeVR84/QngyJHoswk8kQeCgudHbt6tc\nKbn5wU2Cwc5TutmfL/f1PXdn/rTOQ289l/7bJcphSX4lF4+D2KGVxsQGUxqCjYChGor7s04Z6RF2\nw9Jf6os50BlPsCgRSuv/fZ3UpuSXcjBQ5AWhEk+C+FRMtSEkrlqtsIVFG42qFMYaTGygB+GxkOJG\nQbKYUPmK0pZEJyLcyJGupARRgFkwmL4hOBZg1y2TdyfEWYzXnvhUTHgyJD4b8/+z96ZBch33le8v\n8261dFfvjcZCEADBnRRJkJRIS9YypiSapu2wrJnxjDwOy6MZT8iWnu2YmAm9j454IckTDs0XPz/P\nvLDC9GPY45El2ZYp2fJCSKIpmgRXcBMBEnsDjd5rvUtmvg/ZVV3VXdVdXY0GGuA9EYqgum7VXZF5\n7j/P/xwda/r39KPHNBffvohwBLmbc1ZquQRVU+y/fT9uoekZeN/aEtkjR45wy0du6SjvBKj11RC3\nCMzN1ngsPBfiC59cIUdgAnK35HCyzrZaMdhu4+GlwrV8Xil6Q8pH1kZ9nhbDm+MisDV8ZLG2yMzU\njI0drmOJj/i7/bZcpPn7KR/pjO3AR4qvFIkLMWLEqgGcwEFelGTzWYY+MgSwaT4SL8QkFxNr3pjY\nIppjHDzp4fQ5tjUhNIQXQty8a1tfBmz7RJiEJAsJfr9v1ZPCGk4mcwnhVGiVmHmHbJCFnSzzkXv6\nUVXF9PQ0MiPJ3WyPu45e+cjtH7k95SNXCa7l89oseioufO5zn+O//Jf/wnXXXcczzzzDjTfeuOkD\nudZwqfKcjTKospVpNSBs32Lu1hz5u/JWjrVG/FLb2KjI9pnVXXXrsnFYlv/VB0ERCMovrY5mCm4I\nKL5cxFRtT1zz77Q9Rw1On0PhfQUuvnmR/pv7lyf/PsPIIyNts7E7Xpvm86ppyi+W8XdYg5sWCeTS\n+QghuLe/n7v7+rZNrvRm0DxJ6ZrG32NL35U3KpiqvR9OzkYvmcSgSoroQkRmv+0HNMZQfKFIUra9\nkcFEwMAHBqieqhLPxjYeclFbMyINJmOQQ7a/ML4QIzJ2tUB60j6Tyl7LYE9gY558gRT2s+C6AHPO\ntjDIfokz4ODv8m0/r7HPRbKQ4PQ5Nnt61MOf8AlPhzbySghKL5VIKgnR+Qh/wrerSVo0JnRh2t/L\n9VzEO8k783flmfnWzLIT8/Ea8WyMk3NISgnV41UWn1nEGXDI35LvyeE8RYoUm0PKR9bGpeIisDV8\nBEmjvc2oVh7RiDSGlI9sc7TjI0Yb1EXVUIHU+QgKwlPh8v3bLB85H1vjRpaeFwEkoEJF5oYM/ohP\ndCGyiy1DDjKSxLMxJjE4Iw5aaDK3ZJBSNswURdb6KORuzNmEKWGPeRUfuWj5SN0rJOUjKVJ0UVw4\nevQoX/7ylzl79iyu6/I3f/M3/OIv/iK/8Ru/QTabJZfL8cUvfvFyHOtVhXpPX8OZvqmK3o3pSn2i\nSr6XMH1i2lZssY7K3qDVb3Wba9uu908UBPlbbY/ayr6tYE9A6cXlyb/ZzdnJOhhjmHtyjtpjNWon\na0hP4hQc/J0+0bTtc8vsz6w6x2aSI/zWnrK6WVKvUVJO3sHf4RNN2f3X47Da9aE5QmypWdJ6ZlKb\n/v02faXBrqDhPlz3IxCBNVOC5ZQEHeoGYapPmkP/YqhxDXVNM/M3M9bACJB9S+kNVY1SClmUVOer\n6JrGzbg2z3nAQZeW4sqqBm2sxDR7IIuJbHa0KiviCzGqpPCGPKs4SJYkon0uwUQAxq4K+Lt8kpmE\n6ltVdKypnarhT/i4Y659dgJBNBWhixp31MUtWLMmf8LvySW5U066KqvluNi6I/qS3DY6GzWuoy7a\ni5zmTKdIsbVI+cjG0ewvsJKPdGsAt9V8JLguwGhj+9i95ba4zHUZkFA8Ukz5SI+4knwkmAjwRjyb\nLCVNCx/RkUZXlrwGhNgUHzHRUkEpa+99Mx9RFYXcK8nsz9j/FhITGJLFhOhshDvmIhNJdDLC3W2j\nqnO35oguRMQzsb2PFyIbDZnykRQpusK6xYU77riDP/7jP171949//ONbckDXDCSokqL8atn2XyHw\nJ3wyBzJk92bXHeSbJyrpS5JZG4dTO15rTFSdop6a0SlySTjWNCezJ0N4NkRVVaNCaoxp3fdcgsEg\njguyB7MNV+fobIQ3bJ11k0V7fMGugOhCxMD7B1Y72W4gGms9tDuvuvIiuhDh7fRwMk5HM6KtgDGG\n5PWE6dPTPckpu8VKcmaUofp21U48ebsyoCoKPWNf8p0+B9lnJygZtDoTZ/dl8Ya85R93ofKjCtF5\nm1wifWn7EV1wtNMoAERTkTVkLCmSmcSuPMVL/ZWv297G4nO27cb4huhchI6tmaNwBP6Q35g4R35q\nxJoaJTb1ITxjZYrJjHWDNjXrNG0qBn+fT/aGLOHpEFVROLFj3af7JGOfGOuqP7QT0Vq5otBCypsc\n0dGgyorAt9FTdYd0mZFpznSKFFuIlI9sHMIRBHsC5g/Pk8zaNjaBwBv3GPrIUFdj1VbzkeyNWapv\nVUGyau5cte+Uj3R3TNuAj8jMkrJgMW4YL9b5CA6NWEnYJB85H9koyQSS2cRykSU+Yo4b1Jz1VRKu\naPARk9jkCSmsT4iuaNzAZeSnRyCxqVJ9d/alfCRFih5w5V3srlGUni8hctZ9ti7/qh6voiqK0Z8d\nXfO7q3KkmwaS5hxpWF/WuJYk0sSG/G15+g/1NwY4gOm/mu6472BvQDwdg7b7zoxZd99kMSGZTfDH\nfdxBl9xtuVX7a44vWnm+G3W5bXdeQliy4e/0GfoXQ3gjdpLSla2r2jej9HzJmkkNrHaHvlTV4+Zn\nwxjTEt+FgPxteeuAnNjqtVNwcAdd20LgCbwxb5XUTpVV4/oUny0iErtqpGp2tUBX7W+JnMDf5eOP\nWt+EeN5Wzo1aypE21thJz1upazwT03dHX0MxEYzayc+fsFLRZCYhmbeFCenJRnxUNBnh9ruNVQ60\ndfAOJ0OSYkJwXYCQgngmJtgd4PQ5eGMefXf3tVynln7cDi7ia/nZtsRtNTmi61jb3OklXtTskJ7m\nTKdIkWI7whhDeC4kmbcv3nU5d/+9a0dPXw4+IoQguC5g+KPDtojQ5KOw1r5TPtIZ24WP4EO8GON4\nToOPaKXxx20qQvPCVq98RJXUclxkaGyrjbGG0mpBESUR0pPkb8+vy0dUWSGltKkQe1M+kiJFL0iL\nC1uA+oAbnYyQWUn25mwj51dXNKUjJQr3Fzp+f+VE1TKQrMiRXq/C3k11vrlC2iy9ardvXdGN3jLp\n23hBf6ePv8NHVRR9d/UhM7JtMQOa4q6OmZZJZaPV/DXPKyNxh92W1o6tqtrX0Zhk5erq86WsHjc/\nG+2iRIUnyOzKEEwEVN+o2hWDSOP0uXh3ZJj4tV04SjT6Vme+NWMjuIDMvgzRhQgRCGRWomM7MSm1\nlM/sC4LxAHfAxRl1iObsvo2xz6PT5+BklqJT+ySqqBo9gaqi7Oc5u7IhEHYi7neQOauAqJ2psfjM\nImpWoZW22xccnD7HkobYkMwmZPZkbPvEuE/+jrxdRTAGExqM03nSDs+Eq2LBVEnBfZ2vd3P/o+yX\nqAWFP+E3jCSNNvij/oZanlKkSJHicsEoO/ZJR+JNeHjjti1NSEHltQrF54rbho84+VYjuvX2nfKR\n9thOfKT/7n78Ud9K95e8NbxdAdkPFBj8yWFkwqb5iDviWnWDI2xC1VKcpeM7uP0u7qhLeC4kno0b\nEdh1voIBKW0rR1KxRSlnxBYPSi+VbKFqJkn5SIoUG0BaXNgC6JpG1VRLT5TwlyqJiVUw9B/q7zi4\nr8qRdgTeqEc0HbVUJbupsLdUO9u4z64nFazvO56O7QSek43JPdgbNH3RmvUIT6x5TPV+Mle5jN4+\n2nMFf73zqhs+rRy8YWt60OqTbNvPLmH1uNnLo/n5gqWKtRREFyMG3z9I7uYcldcrnJksUzQJ6lSR\nN757hl0fGuamF+31qL1dIzofYTAsPrtoZX/C9i+S0JANamGNtNwB1/ayXrC9pI34JsemQxhtncL9\nXT7hO6Gd8HOCpJg0jBudkkPNq+EMOITnQ4QniKdi28phNHEttnJGrLTP32WJovCFJSeJAQd0qKm8\nVrFtR0KQuyFnTZfO2H7gOmmrnqhSO1Ejd1Pr6pVwBOa8JTvrPa99d/cx9NAQldcrhGdDTGRI5pOG\nYRf0tuKVIkWKFFuJZj7SHIsN9mUk5SMpH+kV3fCReDpm+CeGMcpQerXEubkaxSRCHZ7ipVy4aT6C\nADSN5xBAZATuoIuUEpmXyP5lE0nRL4jnYwC8MQ9VU7hDLvFMTHQhorarRvKCbb3BhWRxqR0i5SMp\nUnSNtLiwBZAZiUAs90Q1f1avuq8xuLeT62VuyNgB1qzuSVwPndxn23233STZ2DdLBnzD9rHpP9hP\n7W0rg1ORIpgIyO7LdnVM6znmdoNuXXWb97lVPWiXsn9zLdTvT+WtSuvztRTdJQOJMDbFITwTcnau\nStEzSCQyNKiLCed+OEc8DaPPRYSnQqs8kALZb6Wm0UzUyJEWWmAcKy8UjsAdcYkvxA1DSJmX1E7W\n0BWbU65rmiRKEBftfwtfkJnIWIOlxEobRUaAA9XjVZvdHDiEtdCqICr2OVOhghLUyjUyMoMqKmRe\n4va7GIyNPcs0nfuER+1UjerbVaQrG9JM6VqDp+hiRPaGNl4nydr/Fpuvu9vnUri/gDlkUA8pKq9V\nCM+FVu7Y44pXihQpUmwl3k185Ad//wO+/tTXWawuMjA0wL87+O946NBD6x5Tykd6w0b5yGQxpCg0\n0hNILTfER4xrEEpg3GU+omONCQ3emGfbAhR2wUIIvAFbhDKxTcoiATLg5l30oG74ovk7fGona4RT\nIbkbbIxjeMYeh45socBg0GWd8pEUKbpEWlzYAghHkD2QpfRiqfWD+oCbWX9wbyfXG/rwUFdRT6uO\np4P77Hr7rp6wHhFOzmnZd3MUlL/b9qX5O3wKDxRWrYxsJbpx1V2JrehBq/fTBbsDzHGz6rNLXT3u\nO2R9DEovllZFiQphjUONMYQXIxaVwplKEAsKnZM4L9cQx0PmlCZ/CqRjs6cBVFGha5rofITb5zb+\nLj2Jdmz8k8gL4uNxQyIYz8S4oy7x2SXDJmyvoy5pRE6AgWg2ggBEZMlAMpMQZezf3IyLChU61Pa+\nVTXSk3ZVoGbQaJL5hMz1Gdwxl/wtefK35pn68ylqp2uYqnX0Fp4lMKWjJXu9XdEgOsl8QnQhapHv\nNuCyYaLVmNjfW9hyJ+4UKVKk2AzeDXzk4jMX+ZX//Cv83ZG/oxYvF0G+9sLXeOSvH+Gxxx4jl1vt\nu3ApkfKRLeIjk0sKGSUwwkaMam8p8jLWCG0jI3VeoyrK+jadjdDlJfWGB9JIxIBtV4imI5twtaBR\n84o4WOIuPmRuzKCq1rNKFzVJOcHb4VllxsUYrVM+kiJFN0iLC1uE/vv7qfyoQvnVckvmcrAv6G5w\n15C7JYcTOYy+Z4Vcr8e71lN1vmluEo6wxjGwIXKw1VjLVXclLmXVfqUpj/DsynvDrXeLqsdCCArv\nLYDAVsZXRIkOfnjQRjj9cAFzJoQa6AEHxq2EUEwn6LMRyvORTRFYQgr7Yi8E8VwMCUjHXsvEJEhP\nUritQN9NfUhPYoRh9olZZCDRC5rafM1OrIkgmU/QWuPmXJRQSE/i7/ORA5L4QoyTd6zPwrkaalGh\nqgo1b0krOXDyDu6AS3w+JikmJHMJQgrKR8s4OYd4MrZxmEMu/i6/ccy1MzUyuzOt18sVDROllvun\nDGJCbPjZXTmBp2ZJKVKk2M641vnIr33l1/jWD7+1avNqtcqf//mfA/C1r32ttwPdIFI+cmn5iA6X\nIitd2WjDSXSCEILBHx8kmAgwsaH4YpH4YtzwSIhLMcIV1uDaaChhIzGVwe13yezLIPIC6Uiqp6sk\n0wmL31vEyToktQRd1ra1Rgv8ER/pS6LzUcpHUqToAmlxYYsghGDHp3ZQfK5I9XgVsJPMeoP7yglC\nnVJU/MpllTfV9y/95UmxXX/glRjIuqnMbrSvs1e0y+sWOUFmd4b87fktLboYZcjdaldiVkaJ9h3q\nAw21cyEnD9cwgQRjINYwkyDmNN5cQgLQ7+IOuQ3ZrOhbqrDHWLmfMQgjrJFWVqK1Rgb2udA1jTfm\n4e/0CXYHqO8pHNdBV211Xwi70mBKBm/c9jYmxcRer5yVHiJsC4Qq2v/FcYzBVv/rv+FmXZs+MRsT\nz8b4Y76t+vtLXg6TNo5KIKwEE9NY/ai7iGdvzBLsss7izZJVx3T//HZyeN4qU64UKVKkuBS4lvnI\nU089xRNPPLHmbzzxxBM8/fTTPPjgg5fsuLpdJU75yAb5yKBNZjAYEpXY+MrAsW0Nji0QCCUsNxhy\nLRfRuhFL6U/4+Dt9ym+WUfMKURSoorIJEtLGU0pHomoKUzQEewJEJCxXkNoaSlesakEYy4uQoOat\nkWTKR1KkWB9pcWELIYSgcH+hJepxvcF95QRR78uD5Rf7rZQ+tUQLKZsVLDyxpf2BXR3XBgfSjfR1\n9nQ8HfK6hRSE50Ib77UF16nddQh2BeRuyzWel4YscsKnTzqULkQ4RY2YS6Cm0SMuwYiPpxzi+djm\nMnvSKhCUnUhlIBF50YhfMsrgjXiY2ODv8a15U925e2n7YCiwk7BUmMjgZOwKQFJMbL+hY92Ngz0B\nRhu00njjHqZiTYyMNqBtG4bRBlMxeAMexIAD0ZkIp88hno0RWWElsVKgFhVmwsZPBXsCvGGPZCEh\nPBPaFY+8xJd25WHk0ZEWGa840v09akfettKUK0WKFCkuFa5VPvInf/InVKvVNX+nWq3y+OOPX5Li\nQi8vdSkf6Y6P1M5aQ0c379r7HRjcgmvnamH5iPQlGHAHXfwxH13WLSkiAkFmb4b4XEysY/uS7wrr\nZ6A0cWzVkG6/20im0Eoj+yUitq2b1N/xBeCCmlHWHyrjpHwkRYoukBYXLgO6XeHvOEEsTaT5u/IN\nr4OtqlTqmkaFyg7MTSY03qiHt8vbksxcowyqbKvCK6Oo6tjoQLrRvs6NolNeNyz3UcqM7Gnfa5G1\ndtchPGcjjfoO9VE8UrSRRjWFSQyDU9bwqKqWTIdyDtkaZMsauctDKIGqKLwbPSs7DCXuiEv1zaqN\nU9LGPls+5G7LWRfk23LUjtUIz4WNOCRvyMPf7VM7Zu+J8AQajalZl+d4Icbtt/4K8aKVLgoEIm+9\nFbyCh3Rko+dQlzTxXEySJMhYwhlI5hLbg3khwtvhoRf0spNzZAh2BbjDLtkDWWonao3VBAB/1G9c\np14m3vX+bXZbdEt7IlOkSHElca3xkfn5+a5+a2FhYd1ttoKLQMpHuuEjOi+Qwi4syB0SddHyCulJ\nTMWQLCaNRQczYcjdnqPwQIHyS2WiC9FyNOO4j7/bp/RyCX3OtjYgIJlNGvdWLVhlhQ414anQttsI\nm/jgDtjChpt3wYNgR0C1WEXFCqUUuqxTPpIixTpIiwvbCOtNEIs/XLQrxltYqZQZSXQmstVYuWxC\nE01HdtC/hJm5xhiKR4rMH563Dr/Gmv8MfnjQVtrFct9erwPpVrVurNVHKTxB+dWyde7dAOlab0Vk\nvetgtKF2pkZ4ImwkeMRTMQN9DjtuzFP1Qihb40Q5IPFGPOKLMTIn8bIe+TvzJPMJ8UyM2qmsE3hJ\n2+r9NCx8f4HoXETpxRL+hM/ABwcY/IlBqm9UqZ2qEU6GhEGIlJKknEAE3qCHLEicjIOTczCxIbMn\nYyf7xQTHc0gyCW6fayWLFWOVDtqaM5mKlRSayBp3iaw1yPK0h7/D5pnrSFN4oIBwBMGeAAwUny2C\ntKsYzeZSvapvuiFvaz1nqYQxRYoUVxOuFj4yODjY1W8NDAx0/MwYw+Jzi1vKRerbpXykDR8p2GN3\nCo59wfdd/IM+2b1Zii8XEcMCZ94hKSY2+WEGSq+UOPl/ncQb9MjemGXg/QPIQBKdi1A1hT/mk8wk\nyKwketMmTgSjASpROHnHtnnWNMHegPB8aJWbFVuMcAq2IKGLSy0RiUItKFSkbKtDykdSpFgTaXFh\nG2HNCcIRtjq74vNL2a5Qr9ob1dQjVt8PosVM6VKg9HyJ+cPzxLOxlZthq8Hzh+cblX7Y/EC6FejY\nR6ltZFG9Kr0R0rVyFcAoQ+VYBaMNhfsLa14HVVNUj1eJJiOi6QghBUIKvCEryVOzCgnEZWWTHvoc\n3EEXb8JDGEFwXUDu5hyl50v4O33C86EtLEhspT5cej4DiczKxn0ykWHgwQH6D/XjjXmN4pN+2jox\nq0iBu3QPq7ZCjgGn307gqmQdob19nl1VCGxGdVJOcAbsNZBCWjdobY2dvGEPJ+vgDrvE0zHuiNu4\nH32H+tAVTeV4BenIhoS2jl6fl82acqUSxhQpUlxNuFr4yL/5N/+GP/zDP1yzNSKbzfKpT32q4+fq\nDcX8hauTi8DVz0dkRoKg0XqZuT6D9OzfsjdniU5FRBWbAIHCmj4XHJLpBOlIqz4A/B0+I4+MYGJD\ndl+W6b+YxmhDNBW18pHqkklkVtrUlCEPAjChXcnPXG/jJv19vuUgvkTsEIg5m2aR8pEUKdZGWlzY\nRljL+MffYWVU7aAjW/0VjuhJ3tRcxUwWEsKzITjgZJZe7pZkiP4uf9OTZ12GpSNN9VyVZNa67jYg\nrXyteqLaICiXy215o2jXR8koyPzqe7Ae6WrpLTWG2vFaQwZaeqEExu6vI9lDYLSxK0lL17PuSuwO\nuvjjPpkbMpReLDV6Fuuuzm7BujbXo8nCqRA365J9TxYdaSpvVagGVfxxn2RRIcYU5mKCelMRnY+I\nLkRk92UpvL/A/OF5is8WiadidFUjfPv7btZFoXADF5mVqEUrT9RK4ww5yH7ZOAajDVJK3AEXXdSN\nSroQNnLJG/VQFUXfe/oY/OAguVuX+zvBTrxOpr2ktdfnZTOmXJdKwpgiRYoUlwtXCx95//vfzyOP\nPNJIhWiHRx55pK3fQr2Aoc9oazZ8lXIRuMr5iFrarzG4w/bl3B1wSYoJjuuQ3Z8lsy9D5dUKzrBD\nfC7GcRxq8zHOmEv4SoloKkInusFH+u7vY/a7s13xEWMMasZGhpIBd2TJ6NoXVI5VbGqEFJiiSflI\nihRdIC0ubDOsnCDqg0X+rjwz35pZtb0xhvB0yOx3ZxsV1vXkTSv7rErPl6ieqpoo8OsAACAASURB\nVBKeCImmosbAE+wJGHhwwFZtl4x5ep08V8qwkmMJ5aSMjm36QDN0YiXxzYUMb9RbtVKyFZnNG0G7\nPsqTT5/EnDNt/2WtVaVuXgWoT+RIO/noSFN9u7rmhJI9kKXyVqWRA460Zk5OwSFZTEBA7uYc4cnQ\ntiMsTZaZ6zL2ORA2ESJzg815FllLDoS0Eyj9MJ8klEOFejvCqRlyOOxQvnWCPl2j/HqZ/B15hCuo\nnatZ12cJ3rBH/o48pedKJMWE/kP9dqJOrOmRM+gw8OAA8cWY8qtlis8UcQYcXM8lEQkyJ+2KhQFn\nyMEkBm/UY+hjQ3gDXttJcivcuXs15dquq10pUqRIsRauFj7y2GOPATYVolnBkM1meeSRRxqfNx9n\no4CxmJC8lFDzamT22pa9OlZyEeEIgt1B28jFK8lF4BrgI44AAf5OH2EE2Zuz1N6uoUNNNBUhPesH\n5Y17FE9rKmGITgzy7YRsBXaNebaQ0cxHbstjMISTIe6QXURZi48YDKqoGHjfAEYbqserOK5j2x0q\nGrfgruYjkcEddBn5mRHc3OoLnfKRFO9GpMWFbYaVE8TpV083ZErtBqjqW0uxUk0v3Z3kTZ2cfWtn\nl/vihCvwh32SxYTodES4JyR3U27TA2GzDKt+rPU84mBPsLyhtv+TgUQnmvI/215BFSqiM5GNG7ou\nQAZbk9ncC1r6KH16Wtmor4gYZRoTeeMz136vdrrGyKMjQOuE4u/0UaGidqZG9Z0q0pc4fY41vRrz\ncAeW3JYRdrI1S7JD3yY91J+h+u8NPzRM7uacffnXgITSBYGbKIQEt2oQDlS04qKTMOTZZ6J0tGT7\nHGcTK6OMDW7OtVV8YVdAZGBliLhYcyMN0pEMvt/2zQ79iyGm901TermEEziEkyG1d2qWNEhwsg7x\nTEw8EzP5PybJ3ZJrS177DvVhlKH6dtVGW2Ycgl0B2ZuzVmbbw3PcqynXdl7tSpEiRYpOuFr4SC6X\n42tf+xpPP/00jz/+OAsLCwwMDPCpT32qrWKhRRaet4V2VbZKPH+nv3z+UlijYQlJKaHyWoXaWTvP\nqnmFO+iSvTlLdm92W3ARuHr5iPBEo6AkB+yCx9CHh8jdkWP6G9MIV7D4zCLnVURVQEHYc6WiqQq4\noGJ2BgHCs1xj9u9mCXYG9mV5SUngjXog6MhHhBb4B3xGf3YUE9vFj4t/fpHii8XVfESAqRlqp2o4\nWYdz//c5hj4y1LaQlvKRFO82pMWFbYrGpOe0vjDB8kAuHNt3mL0pu+q77eRN7fqsqm9Xqb1ds/3u\nS2OKP2En13gmpnaqRmZfxsrMepw86zIsJFSPVa287rQmcROiixH+hG97OM9HxPMxqqKILkYsfH8B\nmZcEOwIyN2TI3ZRDRxp/h8/AgwPbUrrVa5W6/r3KsYp1xF4a/I02+KP2+qiqwoSmMaGoqqLyeoX5\nw/NE5yOEL5A5SXghRJ/QOBmHzP4M+TvzDP74IH139CECscrhe+jDQ+TvyjcikZBQ+VGF8qtl2694\nMSaMNL426JyDqGjQ1hthoQBGAqGxfY/KTlD+hE8yn9hVn0jj7/Txxj07mculQkaTvFVVFdU3q9RO\n16idqRFNRghPWLJ5ugbRUkRltBTxtCtAFW0/buWtCkYZCu8t2Gu2RFrrsl2BsE7TxlA9Ud10DNhG\nTbm2auUiRYoUKS4HrhY+8uCDD64bN9mOj5h5QxzaWGZ/hw/Cph4YbQ2GSy+XrPHgEh/J35YHbVeB\nM7sz27ZP/WrjI5n9GQY+MNDSWmCMwSSG0kslahciynNVZGJAGUzOQRQTRMFlMU7YsyuPcASVVysk\n0wnBjgAn5+Dt8EjmE5I5q4RUZbUmH9GRbvCR6qlqWz6iQoXILLV57PRJ5hIqxyuoqmrhpykfSbGd\nUS6X+e///b/zjW98g7feegutNU8++eSmfzctLlxFWFmpNMow852ZtnLDlfKmTn1WMiOJZqzhTqNi\nuSRN80Y9srdkGf7osO3L7xF1GVZ0tsncx7duzCpSJAuJdQFetAkFddfd6hvVRv8dQPZgFulLW0nf\nxtiIXK1ZEtp3qA+jDaUXSo3Jzh+1vYnQWlUWjrCT36manTCzsrENkV1xURWFKinbsyppPAsdq91L\nt7h4pGizmMd9u3o07BD3Q+IJxLBAnE4wjkCPuejpmOJbFfJ7AlRJ2TxpiW1XEAI9qEkuJuBikx+y\nAm/MI9gTtMhb6ytC4YllI8naSVtkkIFsVPnVorJFBmOdqHVkty29WAIB/ff1r1qVqh6rEk1F+OM+\n2YPZxr25nNjqnPMUKVKkuJy4lviInJBkTIba8RrVt6t2JdsRuMNuw4Q4PB2u4iNO3rFFiB5Xny8H\nrlo+soTS86VlPmI0qlbDLIKSIIxGzGs0CSbRRLsUmdAuTolArOYjWuMEDsIXm+Ij/k7bDhrsDZBO\nKx8pmuKy78OhvpSPpNhWOHnyJH/5l3/JN7/5TY4ePcrU1FTL5+Pj45dkP2lx4SpEfZCq9zS2w0p5\nU6c+K+EI3BGXZCZp+bvR1rTJG/Q23X9VnzCazX3AkpPc9Tny78nblQ8pKL1SIr4YU32zSjgZEl2M\nlg4IMvttVXW794V1I1frFAXUf18/GLuC0/y9lVXlxuqLZnllQUN0JsIoQ3BdgIkM2RuyCE+w8L0F\nCocKje93qnbXf1e6kuzBLJn9GXKRZnFsiv7xQfSAQNQWEdMJMjZ4JxNKJ+ep9juoUFE5VsHtd3FH\nXat6OBWhlUY6kswN1t+h/qxlrsvY89qbITwbWknkdIRwBNl9Vmoal2K8EY/+9/RjYhsXBhBNRqiK\narR21PtAAcKzYct1qstr4+m48QzVV9PMrkscgdIBW51zniJFihRXAtcCHxFCkNmVIdgRkLslB8K+\n/BaP2BfFZDZJ+cg24CP+vgB9UDA3XSFbzKH3u/DDKuJCjFM1LP7tHJVgESOt8WI4GeJP+Lgjlo+E\nb4eInQIncDbFR/I35yk+X7QtM7TyEZ3ohu+D0SblIymuKMrlMl/96lf50z/9U1599VXm5+dbPg+C\ngImJCe68805+8Rd/kZ/7uZ/jlVde2fR+0+LCNkW9gmxU58Gmk7yp3jrQjLX6rPK35lFFReW1iu1D\nW6pQB/uCSyKTEo6whjihblS07YFao0YdWXMc6cvGIC08azCIhmQ+wSiDiU3Ds2G79IWtNKMCUMZQ\n05qMlB0Jx5pRQPf3NyYbVVVtq8p1ciZ9iXSX4h9jbdUDQjR8K6RnX77D8yGqrNZd8WkmffVr7viS\nIUeiY41zJIJBF2Iwi4rsgiGJ7eScvytP7Uc1ym+UkZ6VGDpZh/67+xl4cABcK0Mtv1KmdLRE9mCW\nYFeAN+6RVJNVxSekdQiXru39FJ6w/60NakHhDXoN6ax0bUxm9bjtaXTz9jxNbBpkRye68QyB/XdC\ntJG7vXlsVMKYIkWKFFca7xY+4o/7dk4x9v+HZ8OUj2wjPiISGO3zOT8DYl4hTgnodzBVQ/Zcgqlp\n4rLGHXPJ35mnfLRM7WTNtvR4AjfvMvYzY/YcZe98BEHjPFfyEekuR06mfCTF5YZSiu9+97v83u/9\nHkeOHGFqagqlVOPzbDbLnj17mJiY4Kd/+qf5j//xP1IoFDoa7vaKtLiwzbAqVeFUQtEpdnRbbpY3\nNZsemsQw/VfTy2Z3azn7LpkRFZ8tthjOXEqZVOGBAos/XCSZS+ygqq3jf+aGjDXOWYIu68bxOTmn\nIbXXZStN2y59YW3NqPYEvJ7EnJ6eJtIaX0quy2Q41Nd677qJAlqvqlwnZ3WTong6buR+I+3/3ILb\nePkWprvrJTN2Ymx4YyRWDrmrCmbQYXFWEWcFzrhL/46AgXcShCvspLl07/yJJcngvoDa8VrDFNKE\n9gD9CR9n0KHw3gJOziGeignfCVt6OxvH40oyBzL4O2yLhuyXxBdjZE42enHrRarGKkiT3Xe9IFH/\nLeEtfyZ9Ca2cN0WKFClSLCHlIykf2W58ZMwRjMwbjNao+RjHlRR2BgyErn3WtMHJO0RnIzvnDwqy\nB7I2GvNiTHw+xtnvbIqPBLsCwtMh4fkQgVjmIyu4CKR8JMXWolqt8hd/8Rc8/vjjvPHGG5w+fZow\nXI4Jdl2XPXv2cOutt/LJT36SX/mVX8F1t/7VPy0ubDOsrCDXB3hY7bYMrfKmhacX7ApuB6fmtfqs\nhBAU3lug/97+LZFJSVcy9JEhqieqoGH61DTZg9YpN7vP9p1V3qrYmJ+aBgHugM0gRgMeqKIif3t+\nW/SFtav0v3ZsnsWqZuCgIOvYv52u2et/b//yves2CmitqnIzOav3QEZTEWRs+oI34LW8fPsTflcV\nauFY4hRNRQh3OdlDz2r264ByXmECiSsExIaKsLFSaFDzCrVg+yrrE7wz6JDMJyw+s4hONOE7Ie6g\nu2ymhJ1UhSuWyUjjYtiJ2snYqEqAoYeGKB8tM/3NaRtjumTC1OgDzVh/hvBc2JAbeqNeo8dxlayT\nK0sKU6RIkWK7IuUjKR/ZjnxktAyj+QAROHiBY7mIqSBcm/ig0UQnI0zNYLRNrcrflUf6ktIrJaKp\naNN8pF6gCs+FLD67CIYWLgIpH0lx6WGM4bnnnuO//bf/xg9/+EMmJydJktY2stHRUQ4cOMDDDz/M\nb/7mbzIwMHDJlQnrIS0ubCN0U0Fea4KNp+NVldaV312vAr2VMqlmMkG8PKDW/26UwdvhEZ4NMTWD\n2++SPZhFVzU4gL/UTy/FmrnZW41290kbw3SSkLloXYypr3YIwelajbv7+nCWjne9KCATCMpKWRnj\nGufYfD393T7BXpuqEc/F6HndePl2h10GPzTYFTkzyrSYOdaVC3JY4o14BDtsCoQQgGsnS6MNKlE2\nB3rExR10rRR2l090LiKqRPhjPlJa46N4IcYptDqPZ67P4I641I7ZPsV60WClFNbtcxl4wDoxd8oa\n7zvUh3heNEhrsC/AG/OQebla1vn8upckRYoUKd51SPlIykfwBFXPkDVmTS4Cl5ePOCMO2YkMycxq\nLmJig0iWzDhdmzDljrk2fjI0RHOXho8IBIMfGLSeErsCogtRy3VM+UiKSwGtNU888QS///u/z8sv\nv8zMzAzVarXxuZSSiYkJbrvtNm655RY+97nPcdNNNyHllW3VSosL2wjdVpA3+90r1WfVvKpxcvQk\now+OLr8YGtt75o/5mNjmD3vDVl4Wz8T44z5evwd0zs2+XGh3rWNtSIyGGKgZyC9PVJHW1LQm7yxf\n/7a9qYnmnRHN5NzMmjLGOtqZ8iDtKkb1RBVVUTg5Z0Mxorpm+wDrZo4mtl4HF9+5aOMeHyhQ/Oci\nyayVkzp5x06+eYkpG5K5hKScIANJ7UTNmhZdn7GZ0Ik1WXIKDjIjWxy2ZSDZ+fM7Kb1Qonp8KSs9\n09nBuP++foRs3wfayayoXT9qihQpUqRYjZSPvHv5iDGG45UqU6NQm5tZl4vA5ecj2V1Z1LCieqyK\nMVYpabDRoW7BRRUV8dxSsthJCE+GyD5pvREuIR8RjmDg/QNtDTFTPpKiF/zBH/wB//RP/8RTTz3F\nqVOniOPWhLyhoSEOHDjAhz70IX7rt36LXbt2XbHiZiekxYVthPVWtNcyDerlu/XBTXi2Z/5yDXLC\nEYisaNlXfWDO3ZJDejZuMroQEc/G9N/V3yI163blZKvQ7lp7UuAKCR6QaT0mX0oyK6qI7SSh74xo\nJm+xaoW1ZIwrsZKcbcYFuPnc6jK+xme+ZODBAdyca8lCWSHvlyQLCeXXy1QvVkkWbY60O+LaVomS\nwu13KTxQwMQGf6dPPBtjkmVDrHqFX7qSwv0F+g+tL4VtnrBV2ZrVOHmnZYBdeV1S86IUKVKk6A6X\nk480v2gBl/WlK+Ujq/nIOypkagzEXVmyS3NqN1wELiMfCSRjPz9mixdv2wJD7Z0a5dfLuKMu8XSM\nUQZ30Ho9mMiQzCTkbsqlfCTFtkG5XOZ//s//yQ9+8AP++Z//mbNnz6K1bnwuhGBsbIybbrqJRx99\nlI997GPcddddOM72fnbS4sI2wlomR+uZBm3ku3Xzn+qpKtU3qyTzCc6gQ+7mXMNM6XJWwVbK+upV\nalVULL64aON6VhzPlYx/anetpRCMui6nxkRDggjWqfm6TGaVpHBVRnggmJybWbVdOxljt8dYvzYt\nbtFr/IYyhhoab09AfCZsfWb08oS7anUCuPC/LxCeDZEViakYokqE7JM4fQ4yv9TLmJFkb8wijgui\nCzaiaqUUdeWxN/bfpspvjKH0YufVghQpUqRI0RsuBx9pMSIMNeHpEAT4e3wbF3gFxvN3Ox+Jq4qn\nS7M4bmsBolcuUj9GJ+9YjtFFy2f9WLvhI83eHMITXPzmRVRFEZ2P0BVNfC7GYJA5SXBd0OAsKR9J\ncSVw6tQpvvWtb/GNb3yDV155hampKYxZNvhwXZfx8XFuvPFG7rzzTj7zmc9wzz33XMEj7g1pcWGb\nYWUFud1g1+1320UGwXJVPjwRooo2ZkkVFeGJsDEI9irx60bqZZTBVE1DhtZO1iccgdPvIIVsieup\n40rHP7W71rcdHORYcg5lzKq2hk6oT1xlpYi0bigWmrFSxtgOnSa750slTtdqa7tFr9xur2BnRbN/\nxl576UvEDtF2wq2Tw4XvLVA9VsUJHJw+B2fAHmtdbli/h0IIMvszDLx/gPzt+XVXMjrlb/cd6ls7\nPusKSVRTpEiR4lrBVvOR5jE8OheRzCUYDEIK3IPupsfzlI9snI/EWUFUNmTbfN4NF4HV171bLgK9\n8xGZk5SeLxGeDll8bpHqO1W8gkdwXYBRBqfg4A176FinfCTFZcOrr77Kk08+yf/6X/+Lo0ePMjc3\n1/K57/vs3LmTPXv28MEPfpDPfOYzHDhw4Aod7aVDWlzYZli5on361dNdD0yderuaUa/KgzVcakQD\nSWH74/dnepL4rTXo1ieP5m2SNxKmp200Vd3Fd9X5OEuxhis+2g7xT52u9a1HPO4eHe1KKdCMjJT4\nHQxY2skY61jrutcn6PXaLNptN3mrwPEC7vHshHvqxVNtq+/1fkqn4OAP+KiqIilZ59rMvgzumIs3\nbPOf23kjrIdOE7bRxppp9Wg2liJFihQp1sZW8pFmhYBRpsFHBMtcpNfxPOUjvfORXrkIdL7ub95o\nOBOGXbV89spH6vvNHMhQeqWElJJkMQFtuYg/4dvkiCE35SMptgzPPvssv/u7v8uxY8d46623WFxc\nbPk8m82ye/duJiYmeOSRR/jsZz9LoVC45tQtaXFhm6K+MtzLgLRWL5cqK5JigvTlqhxfndiKrjGm\nrcRvrVWAbqq2zduIQDQGXqCjhHLww4MIIdZc/biSaHetHSHWreyvhCME12UyjUm1jk4yxjrq1xRo\nDE610zWUMZy+Ply3zUIZs2qf9e3OxCH3DPR3HPQahSoNGDuBJ/OJNcMSAn+Hjw41Aw8OMPDgwIZ7\nLtdyK68et/nnbn71EHYlJaopUqRIca1hK/iIrtlxWjjW5b+Zj9S5iHBEx/E85SOrcSn4SK9cBNrz\nkcqpKufmajh351btZ2WbRa98pKVQVTP4O3yEFDbZSlougrC+CykfSXGpsLi4yN/+7d/ye7/3ezz7\n7LMsLCxQqVRatsnn8+zevZu9e/fyiU98gs985jN4nneFjvjyIS0uvEvQ8Fk4UaX0cgnpSuKLMcGu\ngHq0rnQlwrMRO80Sv+bvqrLCyS87/gohuoqsAtbcZuTRkcY27VYaejUEuppQlyu2kw62g1GG6qkq\n4YmwJabJG/WoKU20y5D1V/8Tb5Y21rTuuR2jXqhycg7SlY0c62QxaSgYgt0BhQcKPZkXreU4DnTM\nhL7SEtUUKVKkSNEZxhjKr5YpvViyxWgpWvhInYvA6vHcGEPx2aI18cPgZFq9GVI+snlslItAZz5i\nRhz0UIRzZ7bF/wFWc4xe+UhzoQppn59gV2Cfq5mYpGQX1LxxL+UjKXrGzMwMv/3bv83Ro0d55ZVX\nmJ6ebvFLkFIyODjI9ddfz/ve9z4+/vGP8+ijj+L7/hU86iuDtLjwLkG9oix9SWZXhmg6AiA8FxLs\nDjDa4I/afwArJX7FI0XmD8834gela2MGjTEU7it0FTtV/+9O25jQrCmhXDkZXK0xPmsdtxCCe/v7\nubuvb00ZY/03jDJU36yiispOqEurPvF0jKhp/Hsz0GZMa5Y21iWQyhhiY/CEaOyzkwSyTu4qb1Uo\nvljEzbhWYpiReBOeXYUK7fEBlF8q92RqtKbjeMaSh/Bc2JDVmtiAhOy+7FX1TKRIkSLFuwml50uE\n50L8HT7RdISQdrwOz4X4O338Ub/Fub/ZR+jC4xcoHy1jjGkU0+sEv27sdzn5yLuZizT/Tic+YqYT\n/LkItSISE1ZzjF75SOnlEov/vAgOOL7TwkdUrDAYdKwRUqR8JEVX0Fpz7NgxvvSlL/H973+fmZmZ\ntn4J4+Pj7Nmzh49+9KN89rOfZWRk5F2hTFgPaXHhGkKnyWJlJb8Ro2Sgdsa6NLvDLsG+YJXEzyjD\n/OF54tkYIcXyC+xszPzhefrv6e86dqqbbdarKHfTS7kdsZHj7iRjXPkbAOU3ymT2ZFo3lKAXEnb3\nZzirozWljRIoKcXRsiVrrpSMeh77goC92ewqQrGS3KlZRSIS2wJR08RzMdXjVYQUOAMOyXzC3JNz\njULURrCe43jfoT44AvNPzhOdjzDCEEwEZK7PNFozUqRIkSLF5Uc3fKTOReLpGG/UI5qKcAdcvF1e\nW/PI4nNFyq+WGwpLoLFQUlcUXC4+8m7mIu1+B9rzEekIBiqCi66h+ZfatVlsho/E0zGqouzzM+6h\nqorKjyqoRYU34uENebAXqqeqwMZNFlM+cm0jjmO+8pWv8LWvfY3JyUkmJydRSrVsk8vl2L17N7ff\nfjsf+9jHuO+++7j//vuv0BFvb6TFhWsA600WKyv5QohGvFLulhyjPz3amFBXVlhVWRGeD3EyrROM\nkILwfIgqK9yC21XsVK+xVs24Wh15L8Vxr/wNXdOQLKtP6jDa4Aw63BPkkUauKW18vlQiLyU7fJ/p\nOCbRmqkoYszz2kogV5K7YLet1scXYpwBh+hCBBK8IQ9TM8RTMUCjELXRCv5ajuNCLLs9Z67P2GNy\nBOGZsGFwlSJFihQpLh82wkeauYiJDVppRh8Zte7/bYoS1eNVjDYtEvS6GbW302v0tl8OPvJu5iLt\nfmctPrJ7NEfgBJwx8ZptFpvhI5m9GaLzEfFCjI41yUyCKiu8Ic+22Tj2Oanzhl5MFlM+cm2gXC7z\nh3/4hzz55JO8+uqrnD59epVXguM4jIyMsHv3bh544AH+7b/9t9x3333k8/nGNkeOHLnch37VIC0u\nXANYb7LoVMkXjsAtuLgFd81BVpj2nzX/vZvYqeZtTNg+U3gtdNNLuWaM0BWSL/Z63MqYhiRR6tU9\nosITBHsDWyVfMuKUrsQf9Qn2BThZh3udztLGunmSKyUHs1n2ZzINKSJYn8bmklJbciewbTWxQaMR\nQhDsWCYWyaJNjtCxbhSiNoK1HMfr13Xls73Wdb1aJawpUqRIcTWgFz4iHPsiJlRn48h6O4N0V3MZ\nnegWr6it5iOb5SL137jcc9Gl4CJOB1+L9fjIvWMD3CPp2GaxaT4isC01O3yqJ6oYY/AGvMYzUeci\nQoiWQtRGcCn5SMpFLh++853vcPjwYb773e9y5swZpqamWrwSAPr7+xkcHOTOO+/kE5/4BD/+4z/O\nTTfddIWO+OpHWly4yrFykK/3egmvdUDrtUrv5B38CZ9kLmmNYNLgT/iNwbmbGMzmbU6OnmT0wdEN\nDard9FK2myyutHxxo8fdLhN6j/K4LtQ4udbsbX/MR8eavnv6EFI0TLCa72snaeNK8ySnqb+xqtQq\n86RmcmcMJMbgCoEQoJVGV3Vj/8sHaSd1p7C5/tR28tSNXNdOz8DKCSZFihQpUvSGreQjMmPVld6o\n1xKjDUtqzAPLve1bzUd65SJwZfnIpeAi12Uy3CWyq36nGz7iQMc2i175CI4g1stcxGBQi8q28XrN\nD4nlIu6gi8Aemyqrnl7uN8NH1rr/KTYHYwyHDx/m29/+Nt///vc5duwYCwsLRFHUsp3v++zcuZPd\nu3fzwQ9+kB/7sR/jp37qp5BrxKym2BjS4sJVjvqAJjOS2vFai0uv0++gHlK4fW5Xlfx2EI5g8MOD\nqwwd3WGXwQ8Ntq2Ar1cNFo5AZMWGB/RueylXYpV8zxgWTlRQxjC4QR+AXrDR426X83yGiESHHKQ1\nzilzQ8ZW7l27miAQLfd15YpDy3c3mGctMxIRCM73KRamQpQwOAgGPJdRJQkmAnTZKhSajZNNbHBH\nXSpvVAjPhZeMUG3kunZaTVMlBff1tPsUKVKkSNGEreQj9aJEvSBc/20hBfk78vTfv1p2vlV8pFcu\nAleWj1wKLnK6VsN4huvb/M7l5CMiELxjQmazEXomxpGSAc9l3LgYYfBGbDtEspg0+IhRS1HrkWbm\niZlLWtzp9tqupexJ0T2UUrz00ks8/vjjPPfcc7z22msUi0XCMGzZzvM8hoeH2bNnD7feeisPPPAA\nn/70pykUCqkPxhYiLS5c5agPaPWJvNmlN5lPqLxWofDeQleV/E7ov9dmC1dPVFEVhZNbjqKsYzMS\nr26/28uKR0v+sTG8XatxMYpJjMZ9tcTEQbi3Q3byZtF8Xs3HvZaTcMecZ1cyNQb7ixqnWRaqYejD\nQ6vuqzGGI8ViW7+F+rluNM9aOIJ3RjSzuwSucvGmE1CGhSSG2/McHM8hc5Ly0TKqpCy5cKyxY7OT\n8qXqT+32eVhLCmrOm8ZxpkiRIkWK3rHVfKTOOYQQ+DttFFL2hiz997XO4b3yka3kIvXPrzQfCXYH\nhGdDkPDY9x7j6z/4Om8eexOtdcv2ruty0223URga4v2/8Avc9qEP4bouewNPngAAIABJREFUjhCc\niUMO7gmIz4St53oZ+cgL1TJTY+DGvlUtTCcsVGKUo5g4kCPYG9hnEKtYqKdXOQUHp9+55F4Z3TwT\n67WlmF2pkrIdkiTh1KlTfOUrX+Ho0aO89tprLCwsrCokuK7LyMgIO3bs4O677+auu+7is5/9LLlc\nLlUlXGakxYWrHMKxpnqLzywi3KYBTRv8HT7hubDl5ambSv6qfazVZ7YJiV8v393oikezVK0+kUsB\nvpAQac7MVxGOjV26VGh3XsGeAH+3z8L3FgjPhwgj8Cf8VU7Ca+U81+7wEad9zNm47fVqvq+dVhyA\nlnO9K5+nqhQXoghlzJp51soYJm+ReHGARsK4HT7MPp+puzPcdsq6RAshiC5E6NC2SeTvyDcm82Zs\npD+1E7p5HtbMp07oqfcyRYoUKVK0Yqv5yHpFiV75iDGG4pHilnIR2B585GL1Iv/1//uvHH76MOVy\nubHdypcvrTUXDx8G4Nvf/Ca+7zM8PMzBm2/mgZ//eX7iP/0nHCE6XrOt5CPKGM7Vajh3ZTFCoI1o\n8JG5fR53DA3awseSyaI76GIw5G/P4w66q3w7LgUXgfWfifVaJ4hW/fldh1qtxj/8wz/wJ3/yJ5w9\ne5bXX3+d2dnZVa0NUkpGR0cZGRnh0KFD3HPPPfzqr/4quVwO101fba800jtwDSB3aw5nwEEXdUOC\n6I/6ZG7I2MHsEr08tSMCm3Ee7uW7G13xqK+kaGMaE3kDrsTJ2jSFu/v6OuY4bxTtzis8E6JKisy+\nDJm9nZ2E15QGOg4j9w0gD7HmuXdUPwjROFcJLb2UjhDsCgLel+9HRqx2T2Kp8GEMzl1ZuCMDNQMZ\nAY4gUgr37hzO0mTu7fQQ2D7Y3G05Zp6YaTvarNefuh66eR7WkivisqaEtY5evBkWFhb44he/SKlU\n2vB3N4tyudziatwJt9xyC7/+67++qX2l0sIUKVLUcTn4SKeiRK98RL2hqPVtLReBK89Hnjr1FL/8\n279MsVgEYGRkhPe+9738wk//Ag/e/KA1QSx4ZPZk+PrXv85TTz/NqZMn+dGbbzI9Pc358+c5f/48\nPzh8mN//whfYv38/j/7Uo3zht75A/0j7NKit4CMRNBZh9Ao+UkPjjeRxpbysXATWfybWa53A73nX\nVx2MMZRKJb70pS9x/vx5nnrqKaanp5mZmVm1rRCC0dFRhoeHufvuu/nABz7Av/yX/5KxsTGcDh4e\nKa4s0uLCNQAn65C/xb5I1M2T6gPaev1/m8FmHJONMtTO9e623O2KR12qtnCiQmK0XSEA0Aazx2+8\nGK80C+oVnc4LoHy0TOGBAsJvclhecb6dpIGR1uzw/cZ31jr3tdQPkdbUtOaNSqV1JcEYZp9b5MjF\nRfY7QduVm5bChyMgv3x8vpRkHQenzcRqlOm5P7VbdLom3/72t/nBD35AMp+gq7rFBKwW1Tj84mEq\n/09l1feaMTc3x+zs7KaPcbvi85//fM/f9X2f3bt3dy05vPHGGzl06NCa24yNjfG5z30uJQ0pUlyF\nuNr4iFEGc94gbt5aLlLf9krxka985yv8zv/4HZIkYf/+/fzWv/8tPvmeT+LWXwOWRAymaBg9NMqv\n/dqv8cAv/ZJNcDAG78IFXv+nf+Kv/vf/5sUXXmB2dpajR49y9OhRvvTlLzE+Ps7DDz/M5z//ee69\n997GMWwFH/GhdRGmiY/45spyEej8TKzbOsG1Waiv1Wp8+ctfZnJykr//+7+nXC5z9uzZVWoEgEwm\nw9DQEDfccAOjo6M8/PDD/MRP/AQHDhxIWxuuIqTFhWsAzQNW8+C4kczmXrAht/6VvYwRPbstd4Pm\n/fUd6kMZg/tqCSINrsTs8dHvsTL+dmZBPaPDeZnYoGrKkq0V92Pl+dYlgKdrNUKlOBNFGGw6w19N\nT6/qVVyJ9YyRXA2nZyo4WdlYDZAv1xCTMdNCcCCfRSzJHWF55abbnsiVE2uv/amvvfYaT3z72yhj\ncIQgiWP++q//etWLfqlU4ty5c6t6RoG2f+sF2WyWXC63/oYrMDw8zL59+y776n5zq00nxHHMm2++\nuapvsVtorZmfn+edd97p+jvHjx/nO9/5zrrb/eZv/mZHIiGlZOfOnfR3kA5ns1kefvhhhoaGVn12\n/fXX88lPfrLr402RIsXGcLXxEV3TkHT4zUvMRYQjLjsfSWoJn/5/P83f/P3fIITg0Z96lD/45T+g\n9IMSsiYh0/qV5nNu5iKV8XGu/7mf49M/+7MUgPlnn+Uv/uiPePGFF5icnGRqaorHHnuMxx57jFwu\nx8GDB3n44Yf59c9/Ht9vvyTvG4GsaE6Xqy1eUuvxkcvNRZp/v5MhZbdYs3Xi+Z5+ctugVqvxR3/0\nR5w+fZrvfOc7lEolTp06RbVabbv94OAgw8PD3HDDDezcuZNPfepTvO9972NgYOAyH3mKS420uHCN\noNc0iM2gG3fcjhGA3tZUkDvtb+DefiYOwpn56tJLtZ0YOpkF9QyftuclPIGTcVZHNbL6fIWwPZd3\n9/Xx9MIC7opiQbtexWZ0nHi1ZucbmqmL0zCzgBO4mD0e+vYAcSYGV5BoTawNgSNaVm7qaCYbK42Z\n1sLCjgX++jt/TbJgE0f+8Y1/5OTkyYaSYHZ2lsnJyZb2g3ZV7U5wHKfty6bruhw4cIBMJtPmW1YW\n+olPfGLNHj3XdXnkkUe6ajPYLjhy5EjL6tFW4Yc//GHXxYUTJ07w3e9+lyTpwOSx/37feeedNVtJ\nyuUyp0+fXnNfR44c6fiZ4zhtVRHj4+OMj4+v+nuhUOBf/at/taq49NBDD7F79+41jyNFincjriY+\nEuwOME77tret4CJ9h/oYvK9wWfjIQnWBf/1//mvefudtgiDgP/8f/5nf+MBvYJTpio80c5Ga1rxW\nLnM2tK2cQw8+yC8/+CDKGHZrzeNf/CJPPvkkJ06cYGFhgZdffpmXX36Z3/md32FoaIgPfPSj3PnQ\nQ9zz8MMEmQzmpSoTF2FaTEO1hNybsQUWTVd8pFcu0suz2SmSc61Fnk7YjLn6dsEbb7zBM888w+HD\nh3nppZeYmZlhcnKSOI7btpD29/czPDzM3r17mZiY4Gd+5mfYv38/P/ZjP5a2VV6jSIsL1wiuxIDV\nTRW4bpK0spdRlzSZW3uvIHfCWj2X9x6yPYGnazUipbqejDaCTtcEIH/H6pfT9c53Oo4bhQVlDLEx\neE29ip1ISLuJd+cbmv0zEjyBm3NBgDgXIasaEruC4gqJ19QIWl/FaJxfE9kohiHPfP/7XFSKv6jV\n+OpXv9rol5ucnOT8+fON71Wr1XV9CxzHaSkCBEHAnj176Gu6P319ffzkT/7kqhe9j3/84xw8eHDN\n32+Hy/USfq3igQce4IEHHuh6+y984Qub2t8LL7zA8PAw3/rWt9p+rrXm7/7u75icnGz72cmTJ9uu\nooRhyJkzZzhz5kzb333yySdX/U0IQTabXfX3oaEhrr/++hbStHPnTn7pl34Jz/Navv+hD32oY+Er\nRYqrFVcTHwnPhlBjVWrQVnKR/nv7bSrEFvIRpRT/4Vf/A++88w6FQoGv/u5X+eCODzY+3wgfcYQg\nIyVnwxBHiBYu4gjBWSn53a98BUfYZIgnnniCxx57jBdeeIEzZ84wNzfHX/3Zn/FXf/ZnOI7Djh07\neM9td/PvP/Jp9t/+QdzEsVwE0AeDrvjIysJHt2qCXp7Nbg0pN4JezNUvJ6anp3nuued46qmn+Md/\n/EeUUvzoRz+iWq22nUMdxyGXyzE0NMTOnTuZmJjgox/9KDfddBPj4+Pcc889V+AsUlwppMWFawyX\ne8Baqwq8XgRg/hfyHb/bC7rpuexlMtooOl2T/D15yi+Uuz7feq9iRkqO12pMxzGJ1rhS0i8lDw0N\n0ddhxX3lxBsYwdzsTMPBe8z3rKGUFIgLMTrWxO7/z96bh0lWlvffn+estfQy09Pb7PswzMoqggiI\nRFyjvOZVHNxBY9yNeYH8NIp6veRyu8zPS6OJPyUqTuLrEiNoICYIKoPADCICA8y+9cx0V08v1bWc\n9Xn/qFM1VdVV3dU93T3d8Hyuiz+oOn3OeU719P2t+7nv7y3pitloQuD7PruP7MbzPLa/fztHjh5B\n13WOHz/O4cOHkVKSz+fxPK/uc9A0rfRlKhaLsWjRotLuv2VZXH755SxYsKB0v9dffz0rV64kkJL7\nBgaA0ebJgZS8rr19Wj43xewnDEOWL1/OBz7wgbrHfOhDH6r7npSyZpKrr6+PO+64Y1RVhe/7/PrX\nv2ZwcLDi9UwmQ09PD0EQjDr+2LFjHDt2bNQ1fvzjH496zTAMEokE9913X917VijmKnNFj4iYKI1L\nniktUpwKMV16ZMuWLRw4cIB4PM6/f/ff2cxmglxwRnrECQJ6PK9Ci7SbJotMs+QTIYTgNa95Da95\nzWuAQgXi7bffzl133UVvby8nTpygp6eHnp4e7vnvX2LbNi0tLaxdu541yzdy0Tv+b5a5iwgNvaRH\nitSqJNGFmJQ/RaO/m40YUs5FPRIEAU8++SSe5/HNb36Tw4cPMzg4yN69ewmCgJGRkZptpZZlkUwm\nWbx4MclkkksuuYQlS5Zwww03sGzZstKEjnLGqiRUPD9RyQVFXRqZ+TxWFjjIB2OOAJSOnNLdjUZ7\nLicbjMoZq/durGcykfUWvRP25fOkXBdNiFIVw1AQsDub5eKWljHvs7jWIFP5WSw1dHr7ezj89Anu\nefYH5IIcx3uPcKynUG4+MjIyZluCYRgIIeju7i71xzU3N3PZZZdhWRa6rnPjjTeyfPlyoJBoaHQ8\nUC4IGAqCMQ2gpsLsSvHCo5bwAejq6uLWW2+t+TO33XZbzdd93x8lvoaHh/na175WMeItl8uxY8cO\nstlK49B0Ok1fX9+o1xUKxWimVY8EkNyYpPnC5hnVIjD5L8flVOuR6667jqeffhrLsvj5z3/O1ddc\nXfP5TVSPHHVdTnlehRZJuS6hlHV9IizL4rbbbuO2225DSknf8T7+91f+N7964Ffs37+fwcFB+vr6\n6OvrY8eO3/K9f/0mtm3T2trKOWvOZdXyc/joNX9Fs91M5/rOUffYiL/QmdCIIeVs1CNDQ0OMjIyQ\nTqf54he/yMDAAIcPH+bgwYNIKclkMnX9lgzDwDRNurq6SCQSbNmyhWXLlrF06VLe+973YhiGGveo\nGBP126EYxWRmRdfKAk9mBGAjAqIejfRcnikT6b0rfybV62okY14cx/T74WHMsnOHQKdlccxxuCAy\nO6xFNptFSskXv/hFDhw4QM+hHp5+7mmCMODUqVN1qw6KX8A6OztJJpMkEgkuvPBCYrEYmqbx1re+\nlc2bNwOFNoWpdvAdz5ByysyuFIozoJa4am9vr5uMqKY4iktKyZ49e6b47hSK5wdzUY/MhBaB2nrk\nga9+lZ/97GcAfPrTn+aaa64BzlyPAEiA6mcuBI0OahZC0NHVwUdf8lE+dsXHCLQAr8lj+2+289if\nHuPxJx6nv7+fU6dO0dvbS29vL7/d8QDf/dd/RghBW1sbsViMDRs2sHDhQjZu3MgHPvABhBCTMlxu\nhNmmR8pbTO+9997SZ/3ss89y6NAhoGDWXGukY5Gixmtvb6e5uZlYLMbFF19MLBbj2muv5ZprrkHX\n9TnlM6WYXajkgmIUk50VXc1YPZCiW4BGqQcydEKcIw4IsJZY6LY+roAY63pSAy+UmJpAhEyZS/VY\nvXfnNTWRk7I03QAmJ4zK2ZBIcJ9hkA6CijLE1bEY+bKs+R133MFjjz3Gzp07OXbsGIODg6VZ1rXQ\nNI2Ojg4sy6Jtfhvrz92AaZr8+SvfTGfzUsJ5JhsG29BcgWZp7B/Zz4tueBEi6rcs7pJo07Bj0KgT\ntEIxlxFC1J14oVAoCsyEHqELRh4/HaeFKQgzIVpSQ3pywnF7JrQIjNYjp3p6+OrttwNw/fXXc8Ur\nXjFleiQfhiy1bXQhRrdFWFbNHfxaFZ7lz0ZHRxvSuGLt9WzsexWXr/WRa0yWL/B55sn7eOSxHTzx\nxBNks1lSqVTpC3N529ktt9wCQGtrKy0tLQghOPfcc1m7di0A69at44Mf/OCkqxtmSo9ks1m+973v\n8S//8i+l1w4fPswf//jHUoXc0NAQw8PDDZ3Ptm3a29uBwlSGzZs3YxgG27ZtY/PmzQghWLhwoRrv\nqJgWVHJBUcFkZ0XXo14PpC71CtHg9rj4Az4SidAExhpjUgIieX6SpzMZ+g5k8J0Aw9bpWJnk4vPP\nPAM7qvcukJCXaDbcPzDAwVyOPb5Pqmxc5JkIo0BKQmBtPI4uBIMDA/z+u99l/8mTfOvBB8lls7z1\n2LG6FQjNzc0kEolSpt80Ta56yVVcuv5S8o7OyK8tDs8P8ZabICCUMOIZtOwKcZYYhF0aZrwQeORJ\nSXpXmj3niEk5Jk90B2iyTtAKhUKheH4wU3qEp6mI07m9OdxeF6vTIr4mXvoZaFyPTKcWgdF6JHB9\nPnbVVYRhyIoVK3jTV77C7w4enDI9YkYVCitjMVbGYhWGjkFZW4QMJEEu4HE/y1HPqakVyj+HfUNZ\nUo6LbNFwluoYPuw7YbCg+9XceN6r0Lo8cufF2bBU55TXy//s/B8eeewRHM9h9+7dOI5DJpNhaGiI\noaEhoPCl/N577y3d+4c//OGKtTQ1NdHd1Q01fnWEEGzZsoUNGzZUvD7g++SDgFBKNCGI6TrzDYP/\nqPr5PXv2sGvXrjENrHt6eibdDlfUdVDYJFq9ejVtbW2Ypsn1119fMrZevnx5zXHMCsVMoJILigrq\n9QrKQOIP+wSZAKOl8V+buj2Qj0C+pxDkZCDxUh5oIBB4KY/YytikBMQfMhmOn6ujn9OCnpfImOC4\nVnh9sq6+RUq9d5pWmMN81AM/5IT0yCwICS+zsaNgeySfRwaS5UecCQuj4eFhvvyd7/Dwr3/NkX37\n6O/vJ9XXN8o8DgrPd/78+di2zdq1a2lpaeEVr3g9HeuW0rR1K4uamkat2/dD7j7UizEyguPni9Mg\n0QQMex4Lh8BYa1e4NAtN8PSeQU4siaEbWsOOyZPdKZmsE7RCoVAonh/MhB4B4Ncg5onSub2UhzAq\ntchE9ch0ahEYrUe++Om3MzAwQDKZ5Jav/X/4QkyJHilvvTiYyzEUBHRaVinBEEjJingcjdOVqPuG\nsqTwMZdY6FtiEN0DFLRC8XOIb01y4miIbsURv0qjuYUpBCUtkhJgahi2xjy3mTbRwpqL1vDy5pdj\n3LSBo15heoXheQw+/ji+73Pk2Wd54Fe/IgxDfN/nueeeIx9dGwotA+l0mr0je+s+2z179vCTn/zk\njD+jsWhpaRnVWtfa2sqqVatK2kgIwRVXXMHFF18MgGmavOQlL8G27Wm9N4XiTFHJBUUF1b2CUkry\n+/J4KY/QKZgQxZbGSGxIoMf1hr/0j+rrcymJBulJQj8sXTf0Q6RXGAtVbX40FhWZfB1IFu5Nhylx\n9S323mlP5BE9LhiCUNcYygU090rsPzkQaQZdCI4O5ljsgJmob+r0+8d/z/3338/dd9/N0aNH6e3t\nrTkruOjQ29HRQVd3NytWruSVr3gFa9vXstJZxaMjI5RyAaFEmhahadZctyMkbpPAXGbTcsBjWAal\nBAO5EK9ZpztmVbQ8BFJyKuOiO7GKvxrjOSafaUnrVJhdKRQKhWLuMRN6JMgEUDYkplyPlGsRGG3G\nWI/p1iJQqUf++0d38NsH70fTNP6fmz9N7mgM2564Hqm1rvLWiw3JJHtzOf6YTvPY8DDdlkW3bbM8\nFiO9K41z1EFqkNKDgn4ojpfcGq+pFRwhceMQ1zXEEouWA+5pPeJIpCcJuk06qvRI6EmODubQmwr3\n65smTdEX8OYXv5hbPv7xms83vStN9niWB1MPMpw53V4gDIGWKPyePfPMM/z2t78dd3T2WFxyySVs\n3bq17vudnZ0lX4Ny1GhsxfMFlVxQVFDdl5jfl8dNuQgE1iIL57BD+tE0xn0GifWJCfsilLAoiQZh\nCjTjtIDQDA1hFs43EfOj6Xb11YVgiWlz4uhwaaRjICVeKFlgmhjHfFh7OiC5lsQ3BCaQzqZ5dM+j\n/Nvv/43e/l72H9rPwDsGKjLqcHo0XUdHBwsXLuTSK66gbeFCWv7szzgVj3NOIlEqP1xi2iy/38FF\n4ssQS0TPSROFqopNMVxGr7soSsItMbqkRBzMkM77+Brklxm0dyRZFYsRRmszNYEP+LpEj43+nOs9\n26kuaVUoFArFC4eZ0CNaTKtQwuV6pFyLQON6ZCYmDBT1yKOP7uQf7/h/AXj9699AvOuVtIyjR6qp\nt67q1ouiEeBCy8IHXtzSgqVpHM3m8ffkWdOUwA3C03qkTIugi1FrLzdLHK1HJLLDYMG6GnrEELiW\nJF5jLePpEV3XuWLBFbCg8r3217UrPaJQTBEquaAYRbEfLncwR74nj27pmO0mUspCYDcFQbpQoj8Z\nXwQYLRrMdhMv5SGRWO1WqV1iIuZHM+Hqe56RYCcGKRngyxANwXzTYKFlgROiuYXdlZ69e3ns5z/n\n8/f+F/sP7Gd4eHjU2Dpd12ltbWXx4sWsXbuWSy65hLe+4x380TCQ0b0GUvJoOk0ecIMAPSpzBE7v\nRMQ1DFG1Nj+EvMRKjF53hUHReQk6Nsdpy4U4lmRVU4JznoOn9w6S8n18GWIIjaznYy+xoMZnUe/Z\nTmQc15ky1mhQhUKhUMxNpluPCF0gugt6o9j+YLabJc+Fov6YiB6ZqQkD5xkJXvuVd+G6LitXruTG\nN3+enoxXoUdK1zV1mpfbeEcrWyPGWld1kiSQkpTnYWgaYRhSVDS6A6mMy6pkHFMTlXok0iIkxai1\nV5slykiPtGYDOltsNh/QcY/k2Z/P0+d6BT0iBcPtIXFjYs93pvSI0iIKhUouKGpQ6odbGyfIBhjN\nhV+T9KNpRFR7XywX1GLapHehy019rEVWwbVZgLnILAW84jGNMBOuvnpcZ3VrglVlDtBPnOrl3371\nVQ4cfpqnn32SocFBcrlcxc9ZlkVnZyft7e28+JIX09XdxYc//OFRfXeBlOxKpSiGOE9K/MgQydC0\nipGUpZ0IIeiwTPpc73RrhKER2NRdd4VhIiFWUmNNZLi0a12a3kEwjoHlAwakOjVaNlk0VY2+HOvZ\nzrbRoAqFQqGYW8yEHtHX68RErOQNZK+wMTtMtKRGkAsqvIIaOt8MTRh4/8fez8nek9i2zc+//gs6\nvVYOiMIXcc3QCK3K67Ze2MSIEDU9kGpRnSSpq0diAl8vVBbYulapRwwNYqLu2muZN69oTxZeb4NH\nsln6DrhovsQyNOQSk+MJQVcY0lS22TLe851uPaK0iEJxGpVcUNRFT+oYzUbB+yAfVvgilJcLTjbr\nW89caTJzpYtM95SBkJBfH/k1/3Hff7Dz6Z309/ePmidcnMfc1tbGli1buOmmm3jJpS8haSbHXVe1\nKDGFKOwSAO2mWRE0y3ciVsViAIXsfhCgLbZZmozXXXe1YaIpBJ6UeFJy1HHQz0sQbC5MwyAmcA72\nkdR1Ftk2Pc5oB+ia1xhj9Nd4O0CNZv/HGg06FaZZCoVCoTj7TKceqWc8PdEpR+VMtxb54Q9/yP/5\n9v8B4MZ33Ui33wECVsViyFDS2w2OdvoLd/FLbk2D7To0rEd0gbbUxoimX5f0SN7FXaijadRdey3z\nZoBspEuKpphBpEXQBdo+jaSmzSo9orSIQnEalVxQ1KXij3G5L0IIZrtZ+mN8plnfarPHMylNm44p\nA9/4xjfYsWMHO3bs4PDhw/i+X/G+bdssWrSILVu2sPW883jnO9/JsqVLR5n11KM6cFWLkraosmF1\nFLCLP1O9E7ECixVJG7HEou3CFowGSi814JlstnStEDiYz7MhkSh8vsnTz86Tko3JJBc2N1fcbyAl\n+SCo+azrjf6qt1Mykez/qNGgEeOZTCoUCoVibjETeqRai4wyop7IuaZx4tHRo0e56aabkFJy2WWX\n8fc3/T3OEacUYzeunc9F5ydpe6yXS9vbR1233rpqfYluVI8sedE8EntOV0WssmKcs6oV47wEcV0f\nd+26ECQ0rSL+V+iRZOVnWkuPQCEpUe9ZT5ceUVpEoahEJRcUY1L+x1hr1giGAqxOi9jqQmCZqC/C\nTNHolIHqnYlMJsM3v/lNHnzwQR599FF6enoqvBKEEHR2drJu3TpWrVrFje+8kU2bN9HW3gYU3H5X\nrlhROn6sjPdYgatclNhC8MdMpnBcEIwKcBPZiaimOtseSMmg77Mvn2dNvNIuqdjLWHy2Ukp2pdM1\n7z+E0roncn8V94MGWcmRoNBiUp39nwnTLIVCoVDMDuaiHpnIxKNGKyWuvvpqRkZGaG9v55577qG5\nuRl53uifjddoG6ilR8b7Et2wHrlQTFqLwOT1SHVSovr+y9c9HXpEaRGFohKVXJiDnEmp3kQp//I6\n/5r5ZHdncY45hetPsA9xNiGlZOSxEbKHsvzs4Z/xw4d+yFPPPkVvb2/FcYZh0NXVxbp169i0aRPv\nufE9bFq3adxn30jGe7wyunJRUquFIYSSN8NkdlhqZdt1IeiyLHpdl5VlvYthjV7GWvd/OJdjdyZD\nk66PWnfD47sA7Y+5gsu0H6IbGscW59l6dbKiGmOmTLMUCoVCURulR86coh6ptaNeXbH3pS99iT17\n9mAYBvf88h4SWqJkRlkvxo6nRxop6W9Uj0y22uNM9Ei9+5dSIqLqgenUI0qLKBSVqOTCHGIiAWiq\nEbrAaDJoubgFecHMiYlanKmY2bFjB//wxX9g5+M7OXL0SEWbg2VZLFy4kKVLl3LllVdy4403snLl\nytPP/lCe1J7UuM9+vGA9mTK68haGfBCAEKyKx7m4uXlSn3+9bPvqWAwnCMiHIRqF4NhV1q4B9csA\nDzoOva7LJS0tE+47LN5P8kkX0eOCIQpmUEB4zOHUrmE6L55XOn4X4T2KAAAgAElEQVSmTLMUCoVC\nUYnSIwWmIrlSfI5CF6VpBrUmXzz44IPceuutALzuta9j2bFlpA6cmR45r6lpUiX9s0WPjKWlHhgc\nZEUshqVp06pHlBZRKCpRyYU5RKMBaLo5kz7EM2GyYubgwYN87Wtf495772X//v1ks9nSe7qul9oc\nXnPNa9h2yTaWXLPkdD9nxESefSOJg/JAGkRGimZUwlivjO6xkREO53IcdBxSnocfhjw+MsJz2Sw3\ndHVNOKDXy7YLIVifTPLqBQvwpCSmaTx++HDF+WsJgeKYqjBaT3H9jfYdxjQNS0ZzsY3K4wxdRx51\nkRfICgG3NZkkFwScdF0CKafcNEuhUCgUo1F6ZGqSKzKQo0wGobCu6skXb3zjGwmCgPXr1/P1d3x9\nSvTI2nh81LjJoh4Zq6R/tuiRekmJQEpOOA7Lyrwhytc91XrkgqYmAinZn8uBlMR0XWkRxQsWlVyY\nI0wkAD1faVTMDA8Pc+edd/KDH/yA3bt3MzAwUHGe1tZWVq1axeWXXs5Nr7mJbtmNFhaCWjAcIB1Z\n8S9jos++kf67WDTGaW8uVwrMhqbRbpqssO1RZXRFgXDQcUi5LpoQpUD8VCbDznSai1taJvQ8x8u2\nW5qGVednawmB4piq6pGZ5eseq+9QF4IlWJzwworkTiihwzLBkyUX8OoyT10IFtk2L25pzMhSoVAo\nFJND6ZGpS66E+ZDQDUvnqHivbPLFm970Jk6eLIyd/NEXf4QpzYpjJ6tHoFANIKVkXz5foUfmGwZ2\njS/gs0mP1EtKeFIiowkXtdY9HXqkx3EKBwnBYttWYygVL1hUcmGO0GgAer4ynph5dPBRvvIPX2HX\nrl2cPHmywoQxHo+zdOlSLrroIt773vdy6SWXMnTPUOFcQeV1ajlNT/TZN9J/pwtBJgzpdV2MssDc\n67p0VI2chIJAyAcBKc9Dq3ovlJJ9uRwXRD4NE+FMxmW1myYnXbd076YQCCFGjcwsX/e499PewiPJ\nYVKBjy9DDFGYmb0qFoOQ0mdTq8wz5Xn8MZNRY58UCoViGlF6ZOqSK1pMK43UHPVepEfuvvtufvSj\nHwHwd3/3d3RkOyA++vjJ6JFktMN+/8AAp3y/1HoQSomAmjF1NumR4sbC/lyuwqhSA7otq+Y9TKce\nKSYsjjkOWmSGqVC80FDJhTlCIwForiADiczJkglRI1SLGSkl//w//8wvfv8LntnzTEV1gmEYLF68\nmE2bNvGWt7yFN77xjSQSiYrzTWTe8USffSP9d4GUJDWNTsuq2CnotCySmkZQ1lYABYGAEPhRwC2n\nuFM/GUfiiY7LKq8YcMKQI46DAJZYFrausymZJFmj6qKRvsNASvJCsn7tPJwjeXwBpibQhKj4bNTY\nJ4VCoTh7KD0ydcmVihGbNfRIz4ke/uIv/gKAq666iv916/8idVeq5rkmq0e2JpPcH2kot1hFaVms\njn6uOqbONj1yLJ/nYD7PoO8zT9c5J5FgRTzO8liMo44zKR8EpUcUismjkgtzhPEC0FwoQSzvUfSf\n8UmlUjV7FGsZJGkxjb5cH//483/k17t+zYEDB3CKJWhAMplk69atvPKVr+Qv//Iv6ezsHPNeJjLv\neDLPfrwMfD4M8aRkTTzOyliswnMhF5kXlQdmPTJLenxkpOI6IYUKgtgZOhKPNy4rkJJMEPB0JsOx\nKFgnoiDuhiFdlsWlra1oUNeVuh6jnKyXCRZmQ1b2a8h8iKz6bNTYJ4VCoTh7KD0ytcmVenokeX6S\nTSs34TgOS5Ys4Wc/+9m06BFHSpbaNqvj8QotAuDOMj0SSElOSgIpeTzSDYamsTGZJJASJwxZEotx\nYXPzmNMi6qH0iEJx5qjkwhxiIl+IZyPlPYrCFqUSQij0KNYySMq0ZPjEtz/B7373O44cOYKUsnS+\nrq4uLrjgAt5y3Vu47i3X0TQB45zykVaNOD1P9NmPl4EvL1XUReUs6nolexc3N/NcNstTmQyhlBUe\nDdPlSFwMtL/xffb39fF4JkNXtKNRFGCWppHyvIbWXYtaLQ7HzxXops35ZnLUZ6PGPikUCsXZ5YWo\nR0rJhylOrtTTI6997Ws5fPgwpmnyr//6r7S2tgLTp0eqtQjMHj1S/qX/Gd/nZF8fB/J51sVP94cU\nNz2OOQ4XRNWfSo8oFDOPSi7MISb6hXg20UiP4sjjhUD++KHH+f5vv88v7/8l/f39pWMNw2D16tVc\ncP4FvPN172RrciuJJYkzGn3VqNP0ZJ99vQz8WKWKS0wbsiGy6hpCCG7o6mJnOs2+XA4oBLbJOBIH\nUjYUbMsDrR6ZPhUTCWvKgnp1hn68Sojy+6hXUnjUczivafTzVmOfFAqF4uzyQtEj9QwbpyO5Uq5H\nfvazn/GLX/wCgM997nNcfvnlp497AeqRci1iC0EInHBddCEqtAgoPaJQnG1UcmEOcrZGL50J4/Uo\n7tyxk098+hM88fQTnDx5svReLBZj6ZKlXPd/XcdNN93E2rVrp2Su9GSZymc/qlRRCBY+E7KsP0/K\ny9UcbSWE4OKWFi5obm44E1/OqJK/MjFQnaCpDrSmEBiahkbBPHFlWeCcTIY+kJJ+zyMfBCSNqj9F\nUhL+IcPxdIgVMOpZnIkRpUKhUCimhuejHgkyQUOGjdOVXMlkMrz5zW8G4Morr+SWW26pedwLRY/U\n+tJvCoEdVU2urPoSr/SIQnF2UckFxYxQq0dx3/F9fGL7J9j5+E6GhoZKr8fjcdasWcMrrn4Ff/2q\nv0Yf0ml/TXspiM5FMVOL6lJF7w8ZvFMOwhClf5n1Rls1momvplbJ35F84Rq1HKHLewn1aBJEynXx\no1nYRXPKpdEs6UwQTMgUMh+GNVsttCfyWCcC7HkamiVGPYvJtF8oFAqFQjGeZwLQsGHjVOsRKSWb\nN2/GdV26u7v5n//5nyk791jMZj1Sy9egqEd68vmSFgGUHlEoZgEquaCYEYo9igefOMjf/uvf8vvH\nfl/R8pBIJNiwYQOve+XrePfl7ybmFoIDLkhLzin36WrGK/nThSCBRuqoM6Vzw6uvO1FX41q9hKuj\noH3SdQkiU6Ulto2UkrtSqXGrIWD02KYuy6LXdYGo1SKQyKMuHXGrYsxVrWcxWVGjUCgUihcm43km\n6En9rE3DePe7382BAweIxWLceeed6FMc3+aiHqnna7A6FiOUEg3IBQGWpik9olDMAlRyQTHtDA4O\n8r73vY8HHniAkydPlkwZbdvmnHPO4a//+q+5/vrrcZ90C8HenZvu09XUK/nbmkziSIktBcIpJE4m\nO9qqllCod91z4vEJuRqX9xIWEUKwMhbjJa2tbEwmiWlaybG5evchkLJ0TPmuQrWgKE9YLDRNYnlB\nN0ZhlvQEnoVCoVAoFI1Q7pkgHVnSGsVS97MxDeMHP/gB3/3udwH4yEc+wstf/vIpO/dYeiTvh1gu\nmHEdoYtZp0fq+RqEwFXz51dUDCg9olCcfVRyQTEtZLNZPvvZz3LXXXfxzDPPEIYhAKZpsmbNGm66\n8Sbe+5730tRyuifNusAC5q77dJGiJ8QfvAxHPacU5KSU3D8wwP2nTrHyWYl1PKAdg1UtcWKLYwiz\ntmCptVMyVq9ivVLDUMoJuxoXewb3SlnaGSjfBcgFAX8aGaFZ1yvExIF8nt8PD7M3m0UTgtXxOBdF\nfZnVgiIEltg2XabJ1W1ttGkGA639NXcZ5toMdYVCoVDMPspNEQ+1H6L90vaKpMFMT8N45plneNe7\n3oWUkpe+9KXcfvvtU3LeMfXIqVM8/JvjLOoVGIGgPWmxYe08ms5rmlDlxkzokXJfAyeqmizXIkld\nV3pEoZglqOSCYkr51a9+xc0338wTTzxRSihomsbatWt597vfzU033UR7ezu7du2qSCzA7HWfbnSy\ngpQSf7dP6kgK3wk5kR/BXGIRbomBEOzL5znl+zT/ycEastAMQUoGCM9hVY8gzISIJlFacyglrhfS\ntDw+6jnUC9iBlPQ4Ts1Sw2OOwyLbHvX+WK7GxV7CwDDY2N5eegZhGPKDkyf5QzrN7myWhK6zzLa5\nsrWV/Y5Dn+tyPGqdQEoeHR5mdybDtq6ukqCQUrIvnyflefhhiBCCtYkEHc3Nc36GukKhUChmP0IX\niLgY3QIwg3pESsnLXvYyPM9j1apV/Od//idanS/eU6lHvMezaCd8jGQSzYJU4PP03kE21qjcONt6\npNzXoP3QIS5tby8dE4Yh23t7lR5RKGYJKrmgOGN27NjBzTffzDPPPFPyURBCsGLFCi6++GJuvfVW\nLrjggobPN1sMGycyWQEKc7PlSYloFYS2wHclVo+LBnhbYqQ8Dy2QmMd8gmYLDdAE9LkFt2MtqWEv\ntskfzbN/OEcKH3ehjrZMsDQtStcdq1dxfzQSqlbfnxuGbEgkSj2N1WsaS7RU9xJu7+3lqUyGmK7T\npOsICmLivjDE0nX6PY8R30cH0kFAGO0eSGBjMslRx+FAPk/KddGiKRTtpskxx0ETggvm+Ax1hUKh\nUMx9ZkKPXHXVVZw4cQLbtvn5z39OMpkcdcyU65G8S+fxAF8UvtBrQqAJSPk+2cM5Ol7XDkDucG7G\n9cjWZLKuGaMuBHEhKl5XekShmF2o5IJiUuTzeT7xiU+wfft2Tpw4UXq9qamJCy+8kM985jNceeWV\nZ/EOz5yJTFYozc3WorGNmsAQGggQRz28DRZ+GBJzwAipCIy+DPFCieFJkhuSPLcWTgxK9LiGGWXF\ny69bq5Tv9I1IqLObYUWmSOsTCTYnk3hSEotGS05EtLhhyJOZDGb0XothMOR5DPo+hxyHDtPklO9j\nCRElUASaEPhS8sTICOcmEiyybX4/PIyUEiNyfS66MxfNnGZjFYtCoVAoFFPFhz70IX7zm9+gaRpf\n+cpX2LhxY83jplqPyFyA8CWaLUbpEdcJkI6k+cJmnl0tZ0yP2ELwx0yGu/v7G9IioPSIQjEbUckF\nxYR46KGH+Ju/+Rt27tyJGznqxuNxtm7dytve9jbe8Y531My6zzUmOlmhaIBURBOCDsukz/XQ/BDT\nAUPT8K2Q5piBVnZaQ2iYmkBYAmkLjmYd9KbKQF1+3XrOyQAxXWexbXOsqtTQD0MyYcgvawTtiYgW\ngEHfJx8EmNEs6G7LIuW6ZIOgNEEiJgROGDIYBLRFx+lRcN+fz/PqBQtKz9Cs2oUoN3OaLVUsCoVC\noVBMJXfeeSdf//rXgcKUiL/6q7+qedx06BER1wl1aNFH6xHL1tFiGoGUBZ+GGdIjUkqOOk7DWgSU\nHlEoZiPKiUQxLk8++STXXXcdixYt4rLLLmPHjh24rsuSJUt43/vex/Hjx3nooYd4//vfP6HEggwk\nQSZABnIa735yFLPxNd8LAvo9r9C/F1FrbvaqWIwOy8TXIW0EzNN12mIWnSuSEBZ+NpTQYZmIEGJL\nYzhC1r1uMcgVnZPLrw8FAbLYtjk3kWCxbRNEJoyBlGTCkGRUYhiPzI6O5PPsTKfHFC3V1wCYZxjE\nynYppJSYmsbiWIylts2V8+bRappIIcgGARKQFHYUrLKfi0WmTdXXrmcuqVAoFArFdDDTemTPnj28\n+93vLhk4/tM//VPdY6dFj1gG1jKbhYZZOiaU0G4YJJYVfBXGuu5U65GDuRwPDA5OSIuA0iMKxWxE\nVS4oaiKl5Atf+AJf//rXOXLkSOn1WCzGli1b+NSnPsWrX/3quqVq4527aDRU3b82mfNNB7Wy8UXD\nn5OuC0IQKy/Zi+Zmy32VAVCGknCxidQFK80YeSnxNgtkGJamRaw07dL6Q2jIQbncOdkNQ0whyIQh\nR/N5DuRyWJrGIttmQyKBpWn8sr+/ZtDel8uBlCSN0X8Kao2nLN7HpmSSpzIZjKi8MJSy4LMRj7M6\nHue463LSdfGkxJeSNtOk0zRpN01imkZS12uOlqpl5tSogZVCoVAoFBPhbOgR3/e56KKL8DyP1atX\nc88999Q1cIRp1CMXWHhPusij7ulpEWvmlbwExqpKmGo9EgInHIfV8fio9+ppkeJ9KD2iUMwuVHJB\nUcGhQ4d4z3vew+9+9ztykRmPaZps2rSJa6+9lltuuYV58+ad0TXKjYaKc5TzRwqlb80X1i59m2lq\nzVXel8/T67p0WVYpyJWX7DVd0ITYLQqjn9yQA4FDbwfoWxPMj85hSMki22bjy9uxpUA4sqJ/T4eG\ngly5c3I+DHkqkym5Lhf/URf/f30iUb8nsnCymi9bmlYQCdFuQznbOjvZ3tvLk5kMuWg3IBYZLe1K\np0loGksti3wYsioWw9Z12gyDhabJYttGF6JCkOSj3ZHV8Xjp9YkYWKmAr1AoFIqJcjb0yIYNGxge\nHqatrY3//u//JpFIjHn8tOkRTWPhJUk2XJnAcsGM6xVeArWuC9OjR0whkELgSVm3eqAY55UeUShm\nNyq5oADgqaee4oMf/GCp5QGgs7OTa665hi9/+ct0d3dPyXWqjYaKCF2QP5Kn6bymWWOUUxFsgoCT\nUSBfHYuVjqnueTTONWg/rx0vF/DQyCl0ozLrrwtBj+NwYXNzIejU+BdYvQtQHsSKlAevmKbVHfd0\nJJ9nczJZvydS0+i2LA7l89hlgdANQwY9j7tSKQIpOez76Ol0KZBqmsZbu7sLx/k+v0ileC6XQxeC\nPtdl2Pdxop2GNsMAIejzPLwwxNa0ggNzU1NpSsX+qIKi5M7coBfERB20FQqFQqGAs6NH/vzP/5w9\ne/YQi8X40Y9+xIoVKxr6uWnXI1btdc6UHtGFoNuykNG5it4HgZQssiweGhriZDROUukRhWJ2o5IL\nL2CklHz2s5/l29/+dkXrwznnnMMnP/lJtm3bNmap3mSoNhqqeM8NCfPhtBvmNJpVLs/G93seCFF3\npFJ5yZ7QBV5c4GYk8RrnHavEr/q61fdZK3i1myZOEJCo0dqQDwIGfX9MU6XjjsOBXI7BIKDVMDCI\ndhkA2zBoN000ahsrWZrGAtNknmHQaVk8MTLCoOcVRjlZFl2WVShVBF7c0lK6fvFcRNcqfxZH8nnC\nKLCPZ2A1UTNKhUKhUChg5vXIJz/5Se666y6EEHz+85/n6quvfsHokUBKhn2ffBjWrIbww5Au0+SI\n43DCcZBC0GWadFsWv8lmOem6WLqu9IhCMQdQyYUXILt37+aDH/wgDz74II7jAGDbNps2beLjH/84\nb37zm6c8qVCkltFQ6T1LQ4tNn3HOZLPKuhAsiHrzalHL8KfRXsWx0GuIh1rB66TrctR1WVcWzKv7\nMe2oBzKpaXhSYmla6f8NTWNjlLF/OpMhBBKGUXJ7TXkeuTBkrajtTJ0PQzwpWRmL0eu6dJomhiiM\ne8oHAX3R9arXdjBqu6n1XrkXRCAlnpSlnYyiGIpp2oQctBUKhUKhKDKTeuSnP/0pt99+OwBvf/vb\n+dCHPsSuyFD5+axHilok5Xml6oHlsRhLbJujjlNaeyYMadJ15pkmq+NxPCk5mMtxwnUZDIKSaePZ\n1CMxXa/QIoDSIwpFDRr6y/ncc89xzTXXcOeddwJw/Phx3va2t7Ft2zY+8pGPlMroFbOb7du3s2LF\nCjZs2MB9992H4zh0dXXx9re/ncOHD7Nz507e8pa3TFtiAThtNBRWGQ0FktjS2LS2RFQHwuIf/cdG\nRsb92bEckasNfyZzfCPUG0dlaRoSKlydq/sxDU2jSddZHIvxmvZ2Xr1gAU3R6+VkwpCU75MLAtww\nJJQSDRiMRjoVA2k5ReHihCH5ICgFcqDk5+AGAekq74ZMEDASBDV7KKHg6Lw3l+PRdJqdw8M8mk6z\nN5fDFAXzqkacrBUKxfMLpUcUU8VM6ZG9e/eybds2pJRccsklfOc733nB6JF9+Typ6N/kYtvG0jSO\nOg5CCF7X3l5TjxRHQg4GAb2eN6V6JJSSbNQmUc6YekRK9ufzo7SIjBIVSo8oFJWM+y0ym83yuc99\njksvvbT02le/+lW2bdvG9u3bWb58OT/+8Y+n9SYVk8f3fW677TaWLl3KDTfcwKFDh7Asi/PPP5/v\nfOc79PT08N3vfpfOzs4Zu6emC5oQXQWjoSAXlAJ50aF4OhhvTnS9MUflXNDUVArQxZFKtXoPiwaI\njRw/EcYKXkttmy7LKlzf9znpunRG/ZjFsksolPzFouqF6nN5UuIFAScch/35PHtzOZ7L5ehxHPyo\neqCWyaMGjAQBu9JpDjpO6We8MGS+rtPnuhxwHP44MlIKymEYcsJ1eSqTGRWsgdI99rouGgXBogG9\nrksmGn81FbsxCoVi7qD0iGKqmW49cuDAAV70ohfhOA5Lly7lvvvuQ0a64/muR9wwpCefByFoN82S\nHilWJQAko2qA6dYjbhCQ830O5vMcdBz+MDJS0hxSyjH1yFHXxRQComtqFCoo9uRypeSM0iMKxWnG\nbYuwLItvfetbfOtb3yq99vDDD/OZz3wGgJe97GV85zvfYdu2bdN3l4oJ09PTw1vf+lYeeugh8lHP\nl23bvOpVr+Ib3/jGlBk0TgZRZjQU5sOKaQnTRTEQ1pqYMF7PYZFGeg9/4/scTKUqShyLx5ui4IQc\nUpgKMVHGCl62pnFpaytAqR8zoWmlckQ3CEAI5us618yfT1zXR53LFIJU1BPZZhiMBAECCmZI0Y7B\nSBDwy/7+ijJOKSVJTWOhbZPyPAZclwOuy3HXZYFhcNRxaNL1020WrsvhXI4lsVjhZ6JdjR7HIZSS\n1fE4i20bKSWdlkXK8/DDEEPT6LQskpFrdKNO1gqF4vmB0iOKqWY69Ug2m+WSSy5hYGCAzs7O0mSI\nTLQT/3zXI5kgIBsENEdtluV6xA1D2k2TK+bNq3muqdYjz0hJu2mSDgJixQRBpD3CSE/U0iMrYjEE\nsC6RKN1/UY8AbE0mgcYnaygULwTGTS4YhoFRZcySy+WwLAuABQsW0NfXNz13p5gwu3bt4qMf/SiP\nPPJIqTy0u7uba6+9li996Uu0t7ef5Ts8jdDFtJs3FjGFIITSl9JyJppVbrT3sGjkc0FTE89ks2c8\nwqgYvA7mcoTRmopuyuXBa4FpYgrB7myWAc+jz/MYDgLCKAv/074+3tbdXTMQhlLSbBgssm1ORC7L\nfvR6Jghojso3i2s8mMtxIJ/nnESCNfE4K2ybfzt5kmx0zVOehy0E2SDgkeFh2gyDFtOEMOSKefNK\nxkyHo97LfbkcHabJy+fN40Aux5p4nJWxGF4kJkIolDtG4qsRJ2uFQvH8QOkRxXQx1Xqk2ALR19dH\nU1MTjz76KMuWLQPmhh4Zz2iyET2S1HWao3+v1XrEl5Jf9PdzxHG4oatrWvVIxnVJeR7Dvk9c1wml\n5OHhYZbYNm4Y0mlZnJNIIKMK13I90qLrLDZNhBCj9EgmCMiGIS3R56X0iEJR4IwNHYtlQ+Oxa9eu\nM73UrLjG2aCRdT322GN85jOf4dixY6XX1q1bx9/+7d+yefNmAA4dOsShQ4em7T4nykx8XlJKngkC\nTkjJoSAgDbRpGkuEQET9d11C8Pjhw5O+RiAlv/H9UlDcu29f6b29UvIUUJS7HqBLyW7gSSHYZJqj\n7tOn8A+zWwjW63op4Esp2e377ApD+qUEKVkgBBfqOtIw2CVE6TyP+D5PBAEZKRFAa9QHmRSC+4aG\nkIcOsTHaDTghJW70XzIIsDWNHiAAElLSLASdhsHRgweJV4keR0qe8n2EYaAJwSHfJxUENAmBIyUZ\nKclRmDndBIWqA6BPSp5Np+mVksEwpCW6Xiglx0ZG+OmhQ/RREDBBGHJIStLRLosGOAcPstEwSs9m\nkZS4gAUgBI9N4PN7If/dmIs8X9elOHOUHpl+1Loa4/3vfz9PPvkkpmny9a9/nb6+Pnp7e2e9HmlE\ni0DjeuRPnsce3+dwpAcE0CIESU3jVDrNf584QRDF8+nSIwkgDEOkEDhCIIAmIBgZYUgImnWdfZrG\nkTAcpUd602meApZHSQlPSk5KyaCU+FJy4tAhFlU9H6VHRqPW9cJiUsmFRCJBPp8nFotx8uTJhvr1\nL7zwwslcqmF27do17dc4G4y1riAIuPnmm9m+fTsnTpwACq0PW7du5ROf+ASvfe1rp9Wc8UyYqc9r\nVzpNUz7POUKwTsqS0aGr66xPJqdkBnEmCDiYShHXdfbu28ea1asr3pNSonkefa7LUcchG01pGLQs\nzu3s5OLmZh4bGSndZ5FASkQsVhphtCudpjmf5+XR7kAxe74iHq84pimf5/Iw5FQqxYF8ngCQus6K\nWIxuyyrMdm5u5vzOTi4EdqbT7MvlCKUkn8nQZVlcEWXni7sRf9q7l1UrVpCsMV6qf3CQZa2tmELQ\nMzTEvFwOIyq5DFwXnYI5Y7Np0h6LEdN1Mtksqzo7SWcyJClUJPjRes5taQFgvWXxu6Ehns5kSuOk\nmnSdTckkrfF4xbOpprjrUiz9rLf78kL8uzGXeT6vSzE5lB6ZOdS6GuOmm27ikUcewTAMvve973H9\n9dcXrjMH9IgGNDnOmFqkuJZG9MimXA4zl2N4aIi866IJQdI02dzUhKDQBjLdekQIwfFMhnmGgeC0\nHumIKizWt7RgaRqpdHqUHtnY0sKebBYfGAwCjubzpVaP85NJ1iYSNZ9P9X1lggAoeEzUa5FQ/77m\nFs/ndZ0pk0ouXHbZZdx77728/vWv57/+67946UtfesY3omicfD7Pxz/+cX74wx/S398PQDwe5+qr\nr+b73/8+8+fPP8t3ODuoNnEsL2vLhyGvXrCgbs/gRCj2CwZRtr261PFALkcmDOn1PPJhiA5kg4AT\nrsv+yNSoZ5wZykDFWnRxehRSrWOsqOcwE4ZoUaa+wzQLAiD6uXwY8kw2y7Eyk8cO06Q3aqdZE4+X\nnuNiKI2Cqr7HbttGo2DARHR+CTQbBqd8n3wQkAkCvGjXQhcCIzJh8sKQU77PsO/jScl8w+BAPs+i\nyAwqlJLhIBgltuqNdyr2mh7O5Xg2m2UwCJhnGJwTj7MsHriTeRkAACAASURBVD9j4aZQKGYXSo8o\nZhO33HIL3/72twH4+Mc/XkoszAU9sjebpcd1OSeRqDhndbytXstYesTQNNYnEvS6LmF0f8XnEcKM\n6JFASpqj6s1ASkYiPQLQrOukfZ+ErtfVI8Vji3rEnIAe2ZVO88DgICccBykE3ZbFVfPmcWFzs9Ii\niuct4yYXnnzyST7/+c9z7NgxDMPg3nvv5Utf+hK33norP/zhD1m0aBFveMMbZuJeX/CMjIzw0Y9+\nlB//+McMDQ0B0NbWxvXXX8/tt99Oa2TopyhQz8RRF6IUfKwaPzder2E1RWOhP42McNT3GRweptOy\nWGHbrIjFeHxkBF0Ihn2f4tk0IchEO+v7y1yTqykfYVS9luJuQVDjGD0KYgdyOQSFKQtBGBZMHSOT\nRQM4nMtx0HFKJkW6EDiRw3ObYdCk66yIx1liGIg6ZkVXzpuHEIU50TIqd/SlRMiCA3TK88hG5Y2G\nptFqGCyI1tEb9VEamsYC06S73MBRCFbE45z0vFJCQgP6fZ9VUtY0vir2mu7P5+n3fSxNIx0EHIxG\nXwF1dxemkon+DikUivFRekQxm/mXf/kXvvCFLwDwlre8hb//+78vvTcX9AjACddlTTw+6lrl8bbW\nWsbTI4ttm8P5PJJC3PdmQI8EFJIZQkqadZ1Tvs8p38cLQ5ZEmqPLsphnmowEQU090uu6HHcc3tDR\nQT5aWyIyqC5qEV2IunrkgcFBUp6HpmkYQjDg+zwwOFgy5JwJlB5RzDTjJhc2bdrE97///VGv33HH\nHdNyQ4rRDAwM8Pa3v5177rkH3/cB6OzsZNu2bXzuc5+jSZnF1GSio4GKu96NGC+Wsyud5oTj0Od5\nHAtDstksxx2HdsNgUzLJ/YODnPI8Aikxiv4JQELTCAsXhjrnL7/P0m5EGHLEcTjl+/hhiBCC1YkE\n5zc1Vax3TSzGY+k0fxoZIRuGuFLSGQVTATyaTvNsNks6CNCiagcpJYOehxOGhd2LskA5llmREIKt\nySSDnsczUvJ0Nssp38cNAjRgiW2z2LZp1nW6LIt206TFMFifSJSSAMU7l5FI8cKQmK5jl70H4Idh\naQxV+WcYSMnhXI79+TwPDQ8jo6DfYhhIKVkZiZHq3YWpZLK/QwqFYnyUHlHMVrZv386NN94IwKte\n9Sq2b99e8f5c0COaEIgo/o5lNFlRHTEL9QgUqgyezWZBSvbm86SDAAuIaxpdpsnyWAwJdFgWlqbR\nBDX1iB9VfxTXXUwswGktUqwWrdYjB7JZnsxkSqMyy/XIwVxuWrUIKD2iOHucsaGjYvpIpVJ87GMf\nY8eOHQRRafiKFSt405vexKc+9SmS0QgcRW0mOhpoLIflsXrpHhgcZMD3WWzboOt0xONoQK/nYWka\n58TjHBCC/fl8KVs/zzDotixMITB1ncW2zbGq1ojy+/TDkH7X5dlcjhOuSzYIaDUMuiyLDsvimOOg\nVa13v+Ow1LI4bpqE0Q5BcSdgbTzOcdfllO9jlwXE465LOgiQQtAW3d+RfJ6RIOAiUX/0FcAfMxnm\nmSZtpomtaSw0TVxdJxYELLLtUknhuYbBYstiJAhYaFnYul4YTxWNd2q3LLpNE6JSy3bTJBX1agIY\nUeCv/gzzYciz2Sz9nocsE07D0U6FJwvzrBsZ8zVZJvM7pFAoFIq5y09+8hPe+c53EoYhl19+OXff\nffeoY+aCHolpWqmtoPq85fcopZzVemRXOs0xx2FDMslu4KDjsNiyyElJPAxZYJolPbHctsmHIdk6\neqTbskpGjjFNq9AjhqZhitETu6CgR4p+UVZUtQCn9ci5icS0ahFQekRx9lDJhVnI8ePHue6663j0\n0UcJwxBN01i9ejWf+cxn2LZtm8o4ToBGRwNV9xAWqdVLV15ilgkCTjhOqf+vmHEHOOE4ZIKADssi\nBA47DgejNoW07zMvymAXvQC06Frl93l+MsmudJr7BwY47jikfJ8jjkOzpjHo+7QaBqtjMUT0s69d\nsAAojGTqyedBCJbEYiyxbYLIoMinUIKZDwKadL00M7rc3yCh6wRlBko9UjLs+yUzouqA6Ichvx4Y\nYMD3yUVjL1tNk4Wmyd58njXxOKGU9DgOva5LynULuwamyTmJRGm8U/k4q0W2TY/jsDoWAyAV7WB0\nWxYromdWjikEg0GAIQpjviQgov8yUYmlJsSExnxNhIn8DikUCoVi7vPAAw9www034HkeF110Effe\ne29dI+25oEeKbQW17rG4Ez6b9UixgrHYXlHSI5bF2mjClBACHTjmODw0PIwGY+oRCaWES1GPnHRd\n5kWGkrU+Q1MIRiLd4UdVC+V6JKbr06ZFis9B6RHF2UIlF2YRBw8e5A1veANPPPFEwdFX01i3bh1f\n/epXufbaa8/27c1Jin1t9Xbbi9Trh4TTvYYJTRtVYjbfMKg1/ExS6F38ZX8/BvD74WEGPY8WXScr\nJQlNw4r6HIslarXuc1c6zcFcjlO+T0zXkb5P1vcJdZ0OXWfA90vljW4Y4kjJhc3NrI3HGYl6B5/M\nZNCAk9F8aSfqh+wwTc6NxznqeSVfBF9KFpgmnaaJKQqjpPbl8/zJ9/lZXx8thlGzrO73w8OccF3i\nmkZc17E0jVwQkBKChKbhBgEp3ycbPTekpD3aEdiTy7EukagQS8VrPBYFwsWWxTLbpsuyeHFLC0aN\noOyGYWGUlesyFJlVJQ2DeYZBMjJrWlN2nammkd+h6dylUCgUCsXMceTIEa699locx2H9+vX87ne/\nw7btusfPBT1SNBqsVxEw2/VIPgx5NpcrtFdAhR45KSUbkkmGPI9jrstIELCkAT1yVVXCZWUsxkta\nW9mQSJQ8JWp9TtkwZMD3yUatHgldZ55hENc0FlrWtH65V3pEcTZRyYVZwN69e3nPe97DAw88UOgT\n13XWr1/PHXfcgaZpz8tRJzNNrd32chrph6xVYpbyPHwKo4uK2XY3DDnpuhXXTBgGMV2n1TBYG48T\nQslxOASKd1b+M8XMc0ihMqDf98kEAWZkmKgBg57Hs7kcG5PJ0n3KqNdwdy6HlJJez6PfdbGEQI+O\n0Sj0EuYiL4KVsRhOGGKNjCClpN000YVgby5HyvMwol7BYtYbCmV1xRFLPY5TKmfUgBbDYNj3GfA8\n4ppGr+vybD5PQtM47jhsSiZLOwDP5XK4YUgQ+SiUi4VGhFiR3dksTZpWGDclJf2eR8b3sYRgdSzG\nqhrVDlPJRHtqFQqFQjE3GRgYYMOGDTiOw9KlS3n88cfHTCyUMxf0SK2KgLmgR9ww5JTn1dQj6SDA\nj/TK7lxuwnqkUS0Cp/XIiliMw5HnQ9r3iWsalzQ38+Jo5PZ0ofSI4myikgtnkaeffpp3vetdPPLI\nIwDous6WLVu488472bBhA6Dmn88U4/VDAjVLzCxNY4llIaVkdy7H/iDgVDbLkO9zflMTGuBIiR/t\nLKSDoGD+E50nFwR1M8jFzLOlaQhRcHfWgYSuM1xmENTnuuRiMVZH2fZd6TSH83nmGQYDnscCw+Bg\nLochRGGGcxTgJTDo+6yJx5mv6xxwHE46TmnnIchmOek4mJrG/LJgqgvB4WgO9THHYdj3eSKTIYx6\nEnUh6LIs+lyXPdksLbpOl23TbppsSiTQo/UUdxqW2TZ/1taGHrUs1Crjq/V8ystBoVDi2GXb6JpG\nl2WVBI8Thry+o4OLpzmYT7SnVqFQKBRzj7179/LiF7+YkZERFi5cyM6dOxtOLDTC80mPPDI8zP5c\njg7TJDVDeqQnSl4ssm0E0GVZ9DoORxyHbFR1MRk9MlZSaCw90m3buFGFhgCumD+/ZvXlVKL0iOJs\nopILZ4HHHnuMD3/4wzz88MP4vo9hGGzcuJFPf/rTXHfddWf79l6wjNUPmR2jxGypbTMSBHT4Po6m\nsTCRoM91iek6+/J5VsZipUBS7i4MY2eQi5lnXRTMj/wwxIx25oPIRTkAcmFIs66zIhbDCwLuHxig\n3/M4ms9zzHXxpCTr+7QYBossi9ZoF+CE69If+RhIoNuy+PMFCzjoOPwpk+GJkRGGfZ81iQStkRli\nMQA/m83iSklC12kxDOxohyIfPaMjuVxJfHRYFoamMeJ59Ps+i2yblOexMgpwxWdQnCU9HrUckNtN\nEycMK/wZiFqLOi2LzTNkftpoT61CoVAo5h4jIyOcf/75jIyM0N3dzd13301nZ+eUX2eu65Hlts0j\nQ0P8NJUilJK+SG9ICqMym3V92vTIMtvmhOtyzHHoNE16XZcQsITA1vWzokc0CmbUzbrOhkSi4d+D\nM0HpEcXZQiUXZpC+vj7e8IY38PDDD5emP2zdupUvf/nLvPzlLz/bt/eCZ6wy/LFKzAxNY56mcall\n8WwqxdrWVnal02hQClpFh+GiuzCMn0Euzzyvi8dLY5r8aGehzTAIKQTqTBjy76kUd6VS5IKAwTAk\nH5UT+lJyCmgyDIbDkAVCcDya52xGfYDPZbOYQnBAK4yj6jZN2k2T/bkcC22b41Gv45p4vCAkgqBU\ndlg+0SGu65zX1MThfJ5WXQfbJhEJICEEB/N5um27JGqklGTCkF/29zc8KqlWOehJ1+WI43BOIsGa\neLzCkAmoKcKmg4m2cigUCoVibpDL5Vi5ciUjIyMsWLCA3bt3M2/evGm51lzXI9/o6SGp6yQ1jVPR\na7am0WQYpVaK6dIjHdF4yxDY3NTEf/X3F84d+R0Un6/SIwrF9KCSCzNAOp3mrW99K7/85S/xfR9N\n07j44ou5+eabeeMb36imP8wyapW+jVVi1mVZ9DgOVmSKZBa/bHteKWitjsUIpUTChDLI5ZnndYkE\npzyPeVH/YMr3GfR92kyTmKYRAk9mMrRoGjkpKd6lEfU2CmDE9wtB3fcBaNZ1elyXI/k8vpQczOdp\n0nWWxmIYFBISbhiiCVESJvkwZF7U71ikmKHvyec55XkMeh5NVUZHbYZBn+uSj4yWNAquycko4DUy\nKqmeA7IVra/4bHVxeurE2SgBHK+nVqFQKBRzh4GBAbZu3UoqlaKtrY37779/2hIL5cxFPWJpGtkw\nJB38/+y9eXTdV3n3+9m/+UyaLFm2Y8dTQpyJJE5CEpKSNHkpkEVp4Za2XNowht4LpaVdtItV2sK7\nFlzW20VpX6Bt4C0tBMpQoIXSJkCAZoAS0sxzcBw7duxIlqzxTL9h733/OPucHB1LsmRLluzsz1pZ\nBOsMW0dJnq+e/Tzfr6TYpkeEEJSlpMfzGMuyE6JHJtOUQ2lKr9UjJ/Q9LS9ubHNhGRkbG+ONb3wj\nd9xxR2tSYceOHfzlX/4l119//Uofz7JI5hoxu6BQ4N8PH57x2Pa4IqkUynW5preXCwoF4jZvgqPR\n3nn+H1LyeLXKM7Uad09OMmHio9YFAdAwRMq0pqo1iZStOCqAotnF3J+mjYKuFH1mN7NpyhQIQaw1\nY2mK7zTcjE8LAtb4Poe1ppJl1JViWy5H2HF2IQRn5HJs9H0OpilDJge6rhShEGyOIhwzTrmzVGJz\nFPGyri5uOXx4wVFJ0pg01qWk4B35n66NQcBgELQyqhcimJqGlLajb7FYLJbZUEpx1llnMTIyQk9P\nD1/96lc577zzVvRMq1mPpFojtUbBEXpEaU2f59HtujwTx8umR7ZHEYmUHEwSDiUJY0KgtKbLdekz\nkw1Wj1gsy4NtLiwDtVqNG264gX/7t38jSRIcx2Hbtm18+MMf5rd+67fspMJJynwjZs1bhPbHbo0i\nruru5pxCYcZjj+VfOlcIip7Hy7q6Wu/vVyqt/UgNHEoShuOYAd+nohQVU0g9Iej1fa7p7eWpWo3T\nw5DHq1UcIdhVrSK0ZsD3EUIQNA7PVJYx4PusDQLOyOXAdTmtu5s3DAwQOA73mYLbmbX9VLVKVSm6\nfZ+a2auczjL2xjEbg4Buz+Ml+TyXlErz7o22RyW17zTWleLBSoXBIGjlaTcJXZcrursBjjoC2HzN\nO7OMvaOjCxp/tFgsFsuLi+HhYa644gpGRkbo6urinnvu4cwzz1zpY61qPeIJwaSUlLOMNZ43Q484\nQrA+DNkWRfRXq8umRx6vVBhOkkb8o9EjLjAlJWQZJcexesRiWSZsc2EJ0Vrz/ve/n8985jNUKpXG\nbe4ZZ/CpT32KV7/61St9PMsSMduIWbMb/bTW1KRcUHFodxdeTJc6cBzOLRR4qloFGo2FR8plDiUJ\nGhjPMvp9H08ISp7Het8n0Zr7ymW6HIdDaUpNKdCaVGt6PY9+z+NQmuKY0b1JcwuxPYqQWhNrzbZc\nDlcIKlJygTFI3Fer8VS1yoSUFF2XhyoV+nyf08OQffU6NaUoeB5Kay4qFnnVmjWt1IaFRiW17zQW\nXLfh/JwkAA2hwZH7okcbAZxtT3K+8UeLxWKxvLhI05SdO3dy8OBBent7+fKXv7wqGgvtrEY98mi5\nzKE4bkSrC8Eaz2ukQ7guFxQKOEJwz/T0sumRsSzjYBw3ViY69IgDdDkOO0slXtnXZ/WIxbIM2ObC\nEvHRj36Uj3/840xMTABw2mmn8cd//Me8973vtZ3HFwHNWwTpeZzb339EgW4v3A4c4S68kC51+2tc\nVCzy8PQ0T9VqDMUxh4zHQbfrNoyDHKdRsLOMgutSMqkJze765jBkLE0ZS1PGs4yxNKXkeZyTy7E5\ning2jtkWRTxeqTAhJWUpuWN8nLsmJtgQBI2xw1yO08KQRGtCE2t1z9QUU1nWSK/I5ZjIMlKTGX1F\ndzcva4uDXEhU0mw7je0jnut9n8jsZC7UAXmuPcm5xh8tFovF8uLi8OHDXHDBBRw8eJB8Ps9dd93F\nueeeu9LHWhCrQY8MBgHKJDo4QpABLo0ozOkkmXHbv9R6ZAuQas2+ev0IPVKTko1BwDW9vVaPWCzL\nhG0uHCdf//rX+f3f/32ef/55APr7+3nve9/LBz/4QVxroPKio/MWYbaYorKUFBwHz3HIuS5Sa3ZV\nq0itZxS72V4jlpLnzITCxiCgz/PYV6/T73lErkuX67I+CBpGTVpzfj6PEuIIw6PQdZms1zkjiniq\nXidWiqqU3DM9zfNJwpvXrUMDEggdhzuHhxnPMoaShMcqFQZ8nwemp4m15tqeHoQQ5E3nXwDTUnJm\nPs9gEJAZF+are3uPECtHi0qqzzKq2PR3WB8EXNvbyxoTZbVQZnvNJu3jjxaLxWJ58RHHMZdeeikH\nDhygp6eH73znOydNY6Gd1aBHBn0fCThCcG4+TwbLrkeUeZwrxBF6JFGKS0slrujutnrEYlkmbHPh\nGLntttv4nd/5Hfbs2QNAqVTijW98I3/3d39HYAz2LKc+Rxsl7Bx3k1rzaNuO3u56veXi/GC5jAAu\nKZVmFL321zhouvsY9+Ht+TzDccyI47A5DHHM8wTgaI0SgkCIVmazKwRaa3bVavx4cpK84zRMnmiM\nCoaex7iZNhhOU/LmzBNa46QpZSnRwHrTNNhTq7ErDHlJPk/gOJwehuyv11E0DCYDIXCAc4vFWUcO\nFbAjn+f8QoF0FmOp+UYVI8dZdCE/2mvOl/NtsVgsllObp59+mquuuorh4WEKhQLf/va3ueqqq1b6\nWEdlIWsNK6VHXBq/KGdwwvRIc12hLCXSmF17wLogYHs+f8Rn1Pz8LiwW54xutHrEYlkYtrmwSJ58\n8kl+4zd+g0ceeQStNblcjte85jX8/d//Pb29vSt9PMsJovMGwBWCwSDAV6r1mM5xN6l1Ixdaa0bT\nFGWckB0hCByHRCmeqdVwzEhj+2sAVKVkOElaWcmjacrmKCLv+wRKoWjEKTURjYPycLWK1hrPcej3\nfbTWDCUJQmuG4pgxKalJyajjsE5r8kHAk9UqOceh4HmkZhcyzjKEOVOmNZ4ZdxxKErab/ceru7u5\nA9hrbjWE63JeocD/vXbtvJ/fXE7KCxlVXCztr9nOSsVEWSwWi2XlmZ6ebjUWBgYGuPXWW7n44otX\n+ljzMpcWubxj6uDFpke2RxFaax6pVBgzDZO1YcjVPT0zdMZ8WqRzssHqEYtlYdjmwgKRUnLDDTfw\nzW9+kziO8X2fK6+8ki9+8Yts3LhxpY9nOcE0i5EDHEgSRtOUWCmyJMGbnman6XwnpvvdvBFIpGRv\nHJMTgiQIZsRFeo5D6Dgz9uxqUvJkpcK0UlRN6sIa32ddEJAZL4N+36dusqOnpCRTCmHGIbs9rxGH\nlCQ4mEQJs++YGFEhzXtroKYUB5KEA0nSMifyhQCzb9gs4M3/7fU8lMnOdoXAcRxe0dPDrwcB23K5\n1vhjTSki8xiA/56e5plajciMYsLsBkZSa87K5ZBaczCOF5XJPR/zGV5ZLBaL5cXFAw88wCtf+UoO\nHz5MV1cXP/3pT9m+fftKH+uozKVF7p6aYl2WsdP4HrzY9EjkOJyZz7M5ihjwfS4slVrrBdW2qYT7\ny2X21mooGpMCTa8DONJM0eoRi2Vh2ObCUZBS8md/9md88pOfpFKpAHDBBRfw2c9+lpe97GUrfDrL\nStB+A/B0rdYolEKQcxwOAHtrNQAuNKsAu+v11mMiY7o4mqaIJGGzKZgK6DcjdTUpW3t2T1SrTEqJ\nJwR5Eys5lWUAjUkJIVoOylujiFQpEILNUcRQHOM5TstwaDRNqSvFWJqyI5+nz/N4Blqji4qG07Mw\n77ElihhKkobbM1ATJifa83DM359XKKBp3FDMVhQ7bwQ2hiFKa/5ldHTG7cV206FvChmHFxoQaE3k\nupwWhpydz5Nz3ePu5h/N8MpisVgsLw4mJyd5wxvewOTkJJs2beJ73/veSdFYmE+LjGcZWinuL5e5\nuFRqjd+f7Hrk5/fey8N///eMxzF+scjZr3sdzuWXz6lHtuRyc+qRDUHAnRMTjJsmSLseaW+qaK2t\nHrFYFoFtLszDxz/+cT72sY8xNjYGwLp163j/+9/PH/zBH+DYPagXLc0bgMBxGDVjhE0kjaLYLEwb\nwpC7p6Zao4PQKMIl12WfiUoK2goavLBnJ7XmQByzNgha79PlukxlGRNZxtlmb1BqzS/29s7YE6wr\nxf56HY8XDIe2RhF1pRDA+jDkuXqdvONQlRLMP89F16XoOBQdh/MKBXxzczHoOGAcnUsmkWIwCNgS\nhpyey3FhsUhFSqARuySE4L7p6SPile6YmCBRCq11a89wtC3GKVGKmpR8a3SURyuVI8Yn20c0l4LZ\nYrwsFovF8uLgJz/5Saux0N/fz8MPP0xPT89KH2tBzKdFMqVQYmbiwMmsR7YJwQff+U5+/P3vk7St\nEOz79rfZdc01vP1//2+2lkqL0iM/HB/n8UqFLbncEXrktCCgrhR5x+GfhoetHrFYFoFtLszCPffc\nwzvf+U4eeeQRANasWcONN97IRz7yEZsAYWndAKRak5li3MSlMbbXdPk9J5/nR57X2G00nfEBY570\naLnMaVFEd5tzcvueXUVKEqVmdPrXeB4aSJViwPdbj2/uBzYL02wmQc3CtT4IOFCvc8DsS/pCoIAB\n36fH8yi5LucUCuRcl4tLJS4sFlmzdy/B2rXcOTHBc6bz33zviwoFHujY+ez3fYaTpLWz2BQdY1mG\nMkW5iSMEo2nK1igicBwerVR4rFJpjT/CCwVfCGGjmSwWi8Vy3Nx1111cd911pGnK9u3bue22206a\nxgLMr0U8x8FjZuLAatYj+82UpG9WIvo79Mj/+7a38aN/+7cjPoOsXufn3/0u//S+9/EPX/3qovTI\npJTUtJ7hD9HUI6eHIZHjcO/0tNUjFssisc2FNqanp3n1q1/Nz372M6SU5HI53vjGN/I3f/M3FO3u\nk8XQNODZW6vhtRVMBfSIhmtyu8vvjnweaOQu++brAGcXCmyMIg7EMTUpW0ZMFxQKwAsFub3T33wN\nqTWv7OujMMdIXqfxkDQmSA4Nt+ThJCHTmopSJEAIFMzI4kAQsLXNTdkVgmeVopgk7CgUODOfb72W\nEIIHKhV2V6vUlWIoSZjIMvbUahxMErZEEaeFIQNBwGlmLxOgz/eZkrJV0DMjgLbncuyu1VBatwo5\nvFDw1/u+jWayWCwWy3Fx22238Su/8iukacp5553HvffeSxiGK32sRTGfFun3fejQIjnXXZAeqWQZ\nCMG2tpWC5dIjg77P/eUyU1lGRSmU1pQch01hyMYoot/3mXr4YW699dZ5P4un/vM/eeSeexCXXbZg\nPaK1puC6LS+KJrFSDJrUN6tHLJbFY5sLhve///185jOfoVwuI4Tgsssu46//+q+5/PLLV/pollVI\ns+DurdcZimMC122MypnxwXaX32ZRbS9eUmtOz+W4uFTiImO+NJwkHIxj/v3w4Vb3v70gN/+SWrMl\nl6PL82a8Xmd00s5iEa01Pxof50Ac4wrBuiBA0Cj25xQK9HgeB+KYslKMpClVpY5wU5ZaM6Q1Z7U1\nG5rv8Uylwo+npjiQJBxKEtLmWKXntZoXQ0lCqjWJcZD2hOCsfJ49bbFXwgiZs/N5dncIpSaZ2d88\nmaOZFhIXZrFYLJbl48Mf/jAf/ehHybKMs88+m8985jMnXWOhyVxaZHsUsatDi7T/kj+bHmm+1m7j\nG3UwjrlfCHaa2/nl0CMH45i863J5dzfP1esNPSIl++t1zi8Wubqnh3/81reomTPNRVKv87Uvf5kH\nTz99Tj1SlpIDSYIGpNEjG4KAft9nLMta0xzrTNpG3VyGnIp6xGoRy3Lyom8ufO973+M3f/M3mZiY\nAGDz5s184Qtf4Oqrr17hk1lWM00DngsKhVZjQGrNPjjC5bf593PFLj5UqTCapjPGBptuxUd77tEi\nHZ+sVhlJEpRxT1Y0HJonsozTwpDTo4gNUURNSpTWXNbVxUUdudZ1k089Gz8cH+dAkrR2Ml0hGE4S\nYqXIOQ6Hk4QDWuMDCdDjOKwLQ/bU62yPIrZGEbFSbI4izi0U8E2x7vd9RtMUoBUz1WxAnIyFcDFx\nVxaLxWJZHj784Q/zP//n/0QIwWtf+1r+9V//lYce4Ym+qAAAIABJREFUemilj3XMzKVFFDBoGgPt\nzKcp7i+XORDHM27i25MTllqPZFqzp15nIAhYHwQz9EimNTdu2ECv7/PXk5ML+iyeGRnBNylU7Xqk\nbvTNc3EMccyztRpCCDb4Pr7jsDYIuLRUak1TnB5FxGYqo6lHDiVJ63KkObV5MuoRq0UsJ4IXbXPh\n3nvv5S1veQuPP/44AH19ffzu7/4uf/Inf3LSdrAtJx7Pcbiqp6fVBX5s//4jDH6axb/d4Kh9p7Ez\nMxmYkZzQ+Vx4IUrpQVMk2k2KmmIgU4ofjI1RVopUKXzHoWiER0VK1gUBh9KUqSxDmriqZ+t1alJS\nbLuFiMzuZieJUgxnGaHrIptxlI1vmEkpiYSgohTDaUogTFRUFNHrea0GxFm5HKnWPB/H7KvXCRyH\nspScHgTsr9fZZ+KefLPbeMlJup50/zw/p6U0hLJYLBbL7Lz//e/nr/7qrwD4tV/7Nf75n/95hU+0\ndHRqkchxeHDfviN+YZxLjyxEi7izPBeOXY+ERiuEWcZa35+hRzLg4XKZV/T0LNgHIzMJXYnWyKa3\nkxAMZxmDrosChpOEwFxWDHgeOwuFGXqkohTP1evsqdUIHIfpLEMqxXCSMJ5lCJOYdV1vL5eehLXb\nahHLieBF11yoVCq8/e1v5xvf+AZKKYIg4NWvfjXf/OY38bwX3cdhWSKa5kTzdbFncwJuuj3nZtnZ\nazdicoUg7zgzOs6uEOyp13mJiY9qf5+9tRpPlMs8G8ekZvzPASLXJTKd9wNJQk1KhPlal+syJSWP\nV6u8rKtrxuutM+IDXtjVnDYNhJpSrWkIF4i1xlWKSdP1j0Qjf9oTgoLnMSElr+3pIdWa9WHYirts\n/ttXMKaOgeOwJYoQNHwitkURD1QqjcimRYz0rfT430JFm8VisViWHikl1157LXfeeSeO4/Drv/7r\nfPnLX17pYy0LC00c6HzcQrVI87lLoUdCx6GSpiSue4QeWeN5jKYp95fLvOlNb+If/uEf5l2N8KOI\ngVe/mkkpKZsEi1AIUIpYSlLPI4QZekQCCNFagZhNjwwnCQfimPVhSJ/vI2iYX59dKLQaNyeLHrFa\nxHKieFH9Nv35z3+e9773vZTLZVzX5WUvexlf+tKXOPPMM1f6aJYXKbO5KDdpN2KCIzvOTcMi1xgs\ntVOWkkcqFRKlcGikWABUpSQGzsnnOZRlODTMibo8j0HfZ8DsQDZHCpuc5Tg8JSWPVirUpSRyXXaY\n+KZMa4qeR9UIEG1uHRKlWn82JSVdnoejNRNZRqo1SimerFbp6WjqCTPxcGmphIIZplP7jLnSATPR\nMN9I32oZ/1uMaLNYLBbL0vKqV72KO++8kyAI+MhHPsIf/dEfrfSRVh2L0SKwNHqkphQpkHMcyllj\n+dIRgpLrcl6hQGCisH/55S/n+uuv55vf/Oac5z/jmms47aKL8BwHh0bdrUmJNO+XSknF/HlTj2it\nGUoStudys+oRqTXjUpL3PHYWizP0yHNxzIVK8VClsiCNsRr0iNUilhPFi6K58Oyzz/LKV76SXbt2\nAbBp0yb+9E//lHe9610rfDLLi51Ok6QmnaaQs3WcfSEITb711rbHNl+3ZjKaa1KCEEyZwpJJydXd\n3biOQ95xGnnNjsMaE0lVn6XIPKUURdfl0lKJspR4ohFhmWiNFoIez6PoOIxLSU1KymnaeH/PQ5gJ\nBg8YzzKKnscztRqH0xSpNQXPaxlQCSFItaYuJVWlKHVMgzxVrZJoTd515x3pk1rz08nJxgik46zo\n+N9iRZvFYrFYjp84jnnFK17BPffcg+u6fOxjH+MP//APV/pYq5KFapHmny2VHkmzjJzj4CjFQBAQ\nOg69vs9WE3nZ/KX35ptvBuCWW26ZMcHgRxEXXHcdV33sYxxyHGKtZ+iRSppSBeo0anG7HpmSEq11\nywuiU480Iz4VHKFHEmPEPZqmR10xWC16xGoRy4nilG4uKKV461vfype+9CW01hSLRX71V3+Vz3/+\n87i2O2dZJRzNJAlm7zg385sP1usNvwOzulBXitOCgG7PIzBd+uEkIZESRwiKjsPZ+TwPV6skxh1Z\nA2NZxq5ajQ1B0Mh0NkiteV5r3FqNRysVxs0NQ9FxcLTG15q9SdI6+5YwZKBYZCzLqGnNlJTUzbhj\nRcrGnmWWsSEMGTPTE83c6O1RxD7jteBPT89wvlbAhJSEs+RlN0f6HBo3KntrNe6enJzxfGFuHE70\n+N9iRJvFYrFYjp9du3bxile8gqGhIQqFAn/xF3/Bu9/97pU+1qpmIVoEll6PXNfTw4OVCjWtiYRg\nPE25V0r6PK+lR4J8nm984xv85L/+iz/+xCeoK0U1ihi4/nq6X/pSHkhTtoQhqkOPnB5FnJ3P81i1\ninAcJrOMupRoQAMjpjkwmx7ZEoYcSlOmpQStZ+iJpllk5y/rq1mPWC1iOVGcks0FpRQf+MAH+Nu/\n/VsqlQqu63L++efzL//yL2zdunWlj2exzGA+w8cmc3Wct0cRSmuE1jxWLjMhJT2ehy8Ea3yf3dUq\nrhAEQhCancP+IGDIrCbsi2N2FAoIYChJeLJSYTAMEUKwPZfjklKJulLsk5JKpcJ0lhGYs9W0Zk+1\nyo5CgSu7ushojDdmWjMUx1zU1cXjlQquEIxqTaxUawVjXRiyPYrYbeIom7nRSmtG05QtUURgxhub\nqRHrg4Aez5u1ADZvN56sVtlbq1E1EVLtz2+Oaq7E+N9CRZvFYrFYjo89e/ZwwQUXUKvVWLduHd/5\nzne45JJLVvpYq56FaBFYHj0igeebekSIOfXIhZddxs4/+AMqfX1MZxmOEGjgsNY8Wq1yVj4/Q4/E\nShF5HltyOfbFMV1tdT+kkUY1nx5Ba7pcl8g8r/nnl3V1cTCOZ/0cmxrjsUqFZ2q1ho+E8bpaaT1i\ntYjlRHDKNRe+//3vc+ONN7Jv3z4A1q1bx0c+8hHe8Y53rPDJLJb5mc+Iqb3jDC+YKgJc09uL0hpJ\nwyCpKQZOC0N212qsDYJGERGCnOnQHzKOyUXXJTGGjBUT/3QojrlvaoqHymWeqlZ548AA40pRybIZ\nEw0OMJll7K5WqUmJ5zh0eR79pgGwLYqQWjOWpmwMQwIzjnh6GLImCBqCwYw+jqYplSyjJiWbooht\nYcjT9TpDSQJaM6w1V3R1NQyaZiEwY463j48zlmXESrE3jul2XdYHwYxRzZUY/1uoaLNYLBbLsfPw\nww/zC7/wC9RqNbZs2cKDDz5Id3f3Sh/rpOJoppCrTY8IIO+6HKjX8YRo6ZGi63JOPs9olnFVdzdP\nVauN5gHgmLOdHUX0BAHArHrkfPNL90iatvymAC4tlbjVNAo68YXgkXKZb42Ook0S10iasiEIWo2L\nldIjVotYTgSnVHPhzW9+M1/5ylfQWtPT08Nb3/pWPv7xj9sVCMspwUWFAk9UKjNMFc8rFHhpPs9/\njI2R7/jnfHMU0eN5DAYBmTE30jQaAuNZRrfnsTmK2Fkq8bOpKcbM+F8zwskTgkfLZWpZxiGtGa/V\ncF2XouPQ5/uMpCmB6xK6LtqMQE5kGV2OQ8Fx+MnkZCMTWggGPa8RCwU8UasRxnFrPPCMXI6tUcRE\nlhEARc9jd73OWJahaRTDLsfhvEIB3xg8zTbS99/T0wzFMZHrknMcejyPSVP8+32f1KRdrOT430Kd\nvC0Wi8WyOD73uc/xnve8hziO2bRpE9///vdtY2GZWG16JDOTkQpaJo7QaDyUs6ylR3zRMIzOKUXR\n93msVmNQytaqwlx6RAOYKYnURG/PtWJQUYpn63W01jMmPA7GMadFEZl5PqycHrFaxLKcnBLNha99\n7Wu8613vYmpqCt/3ufLKK7n55pvZtGnTSh/NYlkyHqhUWqaKVWOO5ArBz6anW/uPUuvWLULgOAyG\nIZeUStSU4olKhVhraiaruSwlg0HQKJrAdDMGyhRygIMmHspXihiIs4xxpZjMMrpclx7PY8A0CRKt\niRyH4TSl3/MYNDuMmVlX6PU8frG3F9+MHjb3GpvjgecWChyI48ZoYpLgCEHOFOZppXiiWuUSY3zU\nOdJ3QaHAt0dHCdqK5TpzGzFhhIsDSzb+t9LxlhaLxWJ5gbe//e184QtfQCnFFVdcwW233UahUFjp\nY52yrEY9sj4MWR8EbAlDHPOej1WrM/TI/nqdipRsjiLOKxTYXa9zqEOLwJF6xBcC3+iLSSnn1CMb\nwpAD9TpCCLy2xsKGMORAHJOZqY6l0iNWi1hWI6dEc+Hhhx9menqa/v5+PvGJT/Dbv/3bK30ki2VJ\nkVqzr1ZjbxwzmqZkxoixv9mxB56u1Y742qDv49CIoHSFQGiNBgqeR96M52VaI40nQmA8EZo3AFWl\nUFqjHYdB36cqJdrzUEqRaU2/55EoxTNx3Ni1pDE++JK+Pl6Sz7cK30Plcus120cPD9brnB6GbMnl\n2FksooG7p6ZmrF8oYG0QcCCO2VkqzTrSVzE3HP2+3xp7FDR8Grpcl9f09XFtX99xF99jiZOyxd9i\nsViWh1qtxlVXXcX999+P53m84x3v4KabbsKxzvfLxmrWI6lS7EuSWfVIYowoAyGgQ48MJwnrfZ/I\ndVs1/Vj0SF0p9tZq5Mz33K5H1vo+5xUKbI4irujuPi49YLWIZTVzSjQXPvrRj7J582be8Y532BUI\nyylJXSmeqlaZNg7LzVG7Q0nCVJqyIQwZimMw3XLHfO2cfJ7BIGDM5Dp3m1G404KA4SRhV63Gt0ZG\neD5JOJwkrA/DRv4zDaOhnBDUtGbQcXBMksO0lGRAoDUbg4CKUtTMiJ8ChNb45nyucURW5gZjWkpK\nrtsaPZzOMl7Z10eXyZY+J5/nR57XeI82UdIZkdk50tc0mNoaRSRKMZFlKK3xzE3CL/b2Lkkx7cz2\nhrnjpFZDrrXFYrGcqmit2bFjB/v27aNYLPKJT3yCG2+8caWPdcpzsuoRRWNiwBGNaMx2PbI+CLi2\nt5c1vt/SCseiR9rNLjv1iBCCM/N5Li2VjlsDWC1iWc2cEs0FgIsvvtg2FiynLL4QTEjZ6qBrGukO\nU8Z0qLtWY0rKxp6hEPR6HucVChRdl5cWi2yPInzHaXggAM8nSUsYbAgCNochT1QqVLVmLMtQwHmF\nAlIpDmcZruOwPgxZF4bEUnIwjkm15tkkIe+6lEzEkgBGPI+xLEOaOCrfmBlNSYnoiHMqed6MJkHO\nddmRzwMvmEQ1C/18xkcOUJaSR8plEq0JhKDP9zkjl2NLLocQgikTodkUA4tltmxvmBk91f61xRR/\ni8VisSyc6elpLr/8cvbt20c+n+f222/n4osvXuljvSg4WfVIU088nyRMmHWMph7ZEoYzGgtwbHrE\nFYKNYcgdExOMpil1MynR43lc19vLy7q6Gr4Mx6FHrBaxrHZOmeaCxXIqk2pNj+mgO7xQyAESrZmU\nkpxxRx4IgsYYnhCtvOkNYci4yXDOgLE0RdAwPcq7LgjB2cUiQ3FMv/Eq2BJF9Ps+j1cqHDbnEFrz\n82qVitmxrEhJrDWplKRac2GxyGAQcDBJWu+9p15HaU2X4xwR53RNx0RBuwt1e+E+Wg7zfcbMcSRN\nGTefS7cZc1RK8df79zMUx2ghWBcEXNPTs+iiOlu2d5POOKnFFn+LxWKxLIz77ruPX/qlX2JsbIyu\nri5uuukm21g4gZyseqS5tjCepvR4XkuPHEoSBjoaC3DsekRrzXP1OvuT5IVJgSAArbl3aoo7JiaO\nS49YLWJZ7djmgsVyEhA5DmflcuyNYw4lCWNJ0opakkohHKfhiiwl68ULecqnhyEF1+Wanh5uHx/n\n0WqVQ0nCoSSh6LrkHYchc2sgtUYBO3yf08KQV/b1UXJd/ml4mB8MDZEoxXCSUFGKPt+n5LpEUjKe\npkwqhTavVXIc+l0XB6hIyXCS8FJjWnTYGDw2jY4uKBQaXXwpgUYXf7E5zFJr7piYYDzLWB8ErDEr\nFp4Q3F8uM5SmTGZZS0iMZxl3TEwsehxwrmxvOPIWYzHF32KxWCwL46abbuJ973sfcRyzefNmvvvd\n77Jjx46VPtaLipNZjwRCsDmKiByHxGiRtUFAwXGQZp3iePXInZOT5F2XM836ROQ4OELw5UOH2BCG\nx61HrBaxrHZsc8FiOQlwheB0M96/IQiITbFITBa0b8b+FZCZtYDEuC+7QrCzWOTWw4eZNLcLnhB0\nuS7TWca+ep0+38czBkfTUjKSphRcFyEEbx4cRO7di18scvfkZGNX0vNYFwQ8Ui5TUwoNHKjXGYpj\nlFIMhiEboohf6u0FrSmYX/i3tblHx1Ly08lJ7jFTB51d/IXmMFek5Pl6nXEpmZISZaKrSq7LSJLg\nCjEjFssBxrKMvbUam7Se83Vn+xnMFT3VeYuxmOJvsVgslqNzww038KUvfQmtNVdddRXf+973yJux\ndcuJ41TQI+1JFq4QVLOM/5qYOCn0iNUiltWObS5YLItkpRx3m53yvbUajnnfdWGIbwyToBGRJLVG\nCcG6MOTyri4A7iuXqSrFOfk8mdaMmNv8stYEStFjilqXiWxs/66EEJzn+5zZ30+qFPlaDd8U/sBx\nKLguz9RqQMMNuSsIyDkOj1Uqrdds0jR4BHguSXg2jufs4l9cKi24oz6UZcRmZ7P52UxkGWPGfbqT\nTCmqUpIs6NVfYKG3GIsp/haL5dRCmptPy9JQqVS48soreeihh/A8jxtvvJFPf/rTNhECq0eOVY+0\naxE4+fSI1SKW1YxtLlgsC2QpHXePRRA0C1xzj3A4SQgcpxH5lCSsC0PO8TxOjyIcYEsuh2dG/XbX\naq30hMDsPErAqddxhCAFul2XwSCgPwjY4PtHjMsVXJdu32dQSg4lCbGJf2oKgNPCkIEgQECrgD5e\nrfKr/f0MmY59k0QppNnNdNr+vL2Lv9BdwMhx8ICk47GOMZOcrTPvOQ551yVY0Cf/Au0/g6P9/BY7\nTmmxWE5+vvzlL/OWt7wFx3HwfZ+tW7cShiHnnnsu1113Hd3d3bz2ta+1BtQL5NFHH+Xaa69lZGSE\nUqnEJz/5Sd761reu9LFWnKXSI8fanLB6ZHZOlB6xWsSymrHNBYtlgSyF4+5SCAJXCK7s7m69zgbf\nb2Q/AxvDEN90qpuFo64UQMvnABo3ARvDkMk0ZXMUcWV3N8IUP1cIpDE/6nzfjWHI09Uqw0nCWJoy\nlKb4QMFxGDDuzNAopJ4QVKRkq+mO7za3CZHjMBgElKXkcKVyxMhes4u/0F3AVGvOKhTYVa1SNjcl\nrhmzXFcs0u15VNpEgwL6PI8tuRwcY9e+MwpzNhZT/C0Wy6nBzTffTBiGaK2pVCo8+uijQMOE8Oab\nbwbA931836dQKHDmmWfiui6vec1ruOiii9i0aRPnnnvuSn4Lq4Z//Md/5N3vfjf1ep2NGzdyyy23\ncP7556/0sVYFx6tHlqo5YfXITE60HrFaxLIasc0Fi2UBLJXj7lJFAs1WLIBZC0dk9ur6fZ/RNG2N\nLDpAj+exMQxnmP0cbVxOCMH6MKTXdRvPU4ohzO1As5B6Ho4QhOYmY7/ZfXQchw1hyM5ikWFjAtVJ\ns4t/tF3A5o2LLwQ7cjkix2ndYITGpGlzGHJaGPLjyUmG4hgJ9Ps+V3V3s7NY5P4Ff+LHzkKKv8Vi\nOTX47ne/y0MPPcT555/Pt7/9bR599FGGhoa4++67SdOUoaEhpqamSNOUkZERRkZGALjrrrtar1Eo\nFHBdl8HBQbZu3QrAlVdeyete9zoAzjrrLHK53In/5k4QaZrytre9ja985Ssopbjsssv4wQ9+QNHe\ntAJLo0eWMp7Q6pGTQ49YLWI5UdjmgsWyAJbCcXc5IoE6i8VcZ+j3fTJzYzCapmRK4QjBdb29nF0o\n8FwcH3VcTmrNc3HMmbkcu2o1hpRig++zq1ZjbxyzL45xHYdu1+W8fJ7EGBp95/BhtBmB7Pd9QnMb\nsSWXY2+9zliaztrFny/mqfPGpaIUW8KQrVHUMmkC2BRFXFwqcXGpxH9NTvJckrRyte8vl9GLMHS0\nWCyWhZBlGY7j8PrXv57Xv/71M76mlCLLMpIk4dOf/jSjo6Ps3r2bJ554AqUUBw8eJI5jpJRMTU2x\na9cuAL7//e/zoQ99CADP8+ju7sZ1Xc4++2z6+voIw5D3vOc9bN26lSAIGBgYOOHf91Lwta99jXe+\n852Uy2U8z+Ntb3sbn/3sZ62/QhvHq0eWK57Q6hGrRywWsM0Fi2VBLIXj7omOBGoverFS7I9jBHBe\nPo8Qgu25HJeUSgghuGgBe5fN8x8wI4iR4/B8llHVmgFzM6AAqRTPGOHS5Xm4baZGo0nDskgIwWvX\nrEGbGMl2d+are3rm3QWc7calYAp60XUbBbpjFPOhSoWxLKPU9vnur9cpS8klS/BZWywWy0JwHIcg\nCAiCgA984ANHfD2OY+I4Zv/+/dx0000kScLo6CgPP/wwWZYRxzGHDh1ibGwMrTWHDh1qPferX/1q\n6++7urpaSQpr1qxh586dCCG45JJLeMc73gGA67qEYbjM3/HC+Na3vsX73vc+nn32WQA2bNjAhz70\nId71rnet8MlWH8erR1YinvBE6pF+zwMhcGlMMFg9YrGcWGxzwWJZAEvhuHuiI4Hai17edTkrnydR\nisEg4Iru7hlnbt44SK2pSDlrUW/+2ajp7GdaM5IkVLOMBIiEIBKCGjCVZTxYLpNzXdaFISXXZcD3\n8RyH0TRlve8Ta80lXV1cVCrNyJWe77Oc68bFcxyKQnD9mjWkZj+z+Zj5bmmGtG7tRFosFstKE4Zh\nywDyU5/61BFf11ozMjJCkiTccsst3H777QA8/fTTHDx4EIDJyUmmpqaYmpoCYGhoiMceewxoeEL8\n3u/9Xuv1+vv7WysWGzZs4NJLL21NCbzhDW/g6quvXrbv9Uc/+hGf/vSnuf322xkfHwcaKyGve93r\n+OIXv2hNL+fgePXISsQTnig9MhLHJEDJ/LIvtUZpzUPlMpHVIxbLCcE2FyyWBXK8jrsLFQTH4t7c\n+Zy5Clhgimkns432nRaGnJ3Pt7rxrhAMBgGxlExIyViaciCOGU5TQiGQSiFclwyYVgrPmCjtq9Vw\nHYc9xmQpchzOy+dbAqZ5o7AQjnbjkmp9xI3LfM/JzNftHqLFYjkZEEKwdu1aAN71rnfNerNfq9V4\n6qmnABgbG+Nzn/sc5XKZWq3GE088QWpqwMTEBKOjo63n7d+/n5/97Get///JT35yxusGQcDGjRuP\nWFHYsWMHF1100bzn3r17N/feey9KKaanpzl06NCMMfCuri4uv/xybrrpppbPhGVujkePLKcWme15\nx6tHmtrj8q6uli/CbHrk57UaE2lK0fOoSYkL1LRu1f9UKatHLJYTgG0uWCwLZCkcd+cTBMfi3jzX\nc87K5RY19th+q+ALwZPVKj+dnGTqoYd49pZbmDhwgAu3beNNb34z2dq1TGQZWmti81oSmFIKJ4pI\ntMYTAg0oIZjKMtY4DqnZsaxISWq684sVL8dy4zLfczzzdYvFYjlVyOVyXHjhha3/f+211876uPHx\nce655x4AhoeH+frXv07dmPpNTk6yZ88elPnvtlKKyclJnnnmmSNe5+mnn+bf//3fF3XGMAwplUps\n27aN66+/ng984AOrZkXjZOB49chSaxFYej3iAPvjmKEkQSnFz6amuKa3t9WUuryri2+MjDCRZSit\nqUqJAipZxmSbHlGAbzTJpNUjFsuyY5sLFssiOR7H3fkEwX3T04t2b57L8VlqveCilyjFrmqVUAie\nrtd5uFxmdHqaBz74QYbuugsZxwD8FPj85z/P9muu4VV/8ReM+D5rsowpKcmUQtPouteVosfz8ADH\nnEPRuM1IlWJrLkfRcfjvqSkOzGLcNJ94OZZx0Pmes86YOS0Vx3rTY7FYLCea3t5eXvWqV7X+/w03\n3DDv47/zne8wMTEx48/27NnDD3/4w1YTYj4uvfTS1oTD9ddfz5o1a47h1JZ2jlWPLLUWgaXXI7dP\nTrIvjtFa4wjBuJRsDkOqWcbZUjZiLsOQnOOwr16n5Lo4QpBIOUOPdLkufb7PRJpaPWKxnABsc8Fi\nWQE6BcGxuDcf7TkDvs+IKabtz2kWveYtw65qlbsnJ5mSEq01ZaV44IMf5MAPfnDEuWu1Go/eeit1\nKbng4x+nx/Po9jyqUiIBaR43EAQUhWBCShytWev7IAQv7+7mrFyOxysVUiDfjI9i4TFYxzIOurNY\nRGrNM7UaaI3vNLKt1y/RLcFSZYZbLBbLamXDhg388i//8hF//ud//ucrcBrLUrAUWmQhz1usHpnM\nMvbFMWt8v1VDx5OEOyYnmZaSwKzzJErR7/v8vFql6Hm4UlKBGXpkre9zdi7HA1KCEFaPWCzLjG0u\nWCyrgGNxb57tOVprdtfrHIhjzs/nGc0yNLApDAk7il6z+ESOQ851OZAkSK159t57GWrLXJ+NvXfe\nybaHH+bCyy6jz/eZkpKRJKHXdZlUiqLj0Of7+FlG0XXpDwLWBQEvyeeRWjMhJWFHIV1oDNZix0Gb\nhfZgHINxjvaEIFOK/VLiTU8fd9Fdysxwi8VisVhWgmNNklhqPfJsHFOVElcIeo0HQlkpDsYxebPG\n4AvBpJT0CsG2KKLoulSlRAjBsNEj41KyIYqIPI81vm/1iNUjlhOAbS5YLKuApdrd212vcyhJEEDR\n8+gLglkdmTtvGbo9j1RKHMfhwK23tlYh5iKr19n9H//BJVdcwYYwhDimFEUowJGS9UFAyXXJOw5F\n12UwDNkeRQCttYnZCvBiYrCONg7aHAl8vFLhQBzjCsHzaUpFKdCag0YEHG/RXa7McIvFYrFYTiTH\nmiSx1HqkuWZTyTJ6PA+tNdp8XQPKRDwOBgFDcYxnmhVDScJkmrI5DPEchx6lODOfZ1pKBoPA6hGr\nRywnANtcsFhWAfPt4W0Iw1k74p3PkVrzSLlVGFinAAAgAElEQVTMdJaRd13uL5fp9322R9ERjsx1\npahLies4eDT+QzClFNUso2biy46GnJ6mkmUUPI/zi0U2BQFlpTgjl+OiUglfCBKleKJa5UAcUzfj\nedtyOcI5ittSxGC1jwTWpeTBSoXBIGCr+RwcANGIsOozNyDHU3RXIjPcYrFYLJal5mg+AsCs8ZBL\nrUemlaKsFDWlCJKETWFIpjUTWUasFHdPThKZSMkez0MDY1nGYBBwVi7HYBAQOQ5bcjnOLRSsHsHq\nEcuJwzYXLJZVQufuni8EFaU4UK+zt1Y7Ym9Oas0ZUUQlyxhJUx6rVBhLU9b4PoO+T6YUh8wEwmlB\n0CoqWmser1R4sFJBa82hNEVozdYoYlJKhnt6WEh7YcfAAK8fGGAojnmqWuWeOKbP9+l2XZ6sVtlZ\nLBJ4Hpd2dbGzw1joPlNAjyWj+2i0jwS6joPWmtE0JVGKzAgKgEwpmhLneIruSmSGWywWi8WyHMzm\nI7AxDNFa853R0Vn3+JdDj/R5HoezjF7XRQPjaYoy+mBfHOOY9Yez83l+b+NG7pma4ieTkzxXr/N8\nkrAhDNmWy5F3HIQQBI5j9YjVI5YTgG0uWCyrhM7dvfbxuea/qPvr9VYM0x0TEwzFMVoIBjwPBzgr\nl2M0y9hVr6OMw/JwmrKpr69VVO4vlzkQxwwGAYeShIoxcix5HkXX5SWvfS3PffvbZGY8bzbcMOT/\netObKHoe+6amGMsyItfFF4JUa/bWasALo32dI4PHk9E9H50jgb4QeI6DA0xkGY75c2X+cs1neTxF\n91gcoy0Wi8ViWY3M5iPw4Bx7/MuqRzyPnOsy6PsoIFYKBUw5Dp6pq9NZxkGjk56NY8ayDMf8gi2A\np6tVNHBpV1fr+7N6xGJZXmxzwWJZZbhCEDlOq7HQ+bU7JiaQWjNpfqEHGM2yRha01iRK4QjRKlxj\nacpklrVGFZtFZ3sUkShFqjVCa56t19kUhpx/2WXsufpqdn3ve3OeccMv/AJnXnwxe2s1JqSk6HkM\nJQm7q1Uedl02RhF76nUuKBTwZimSQgguLBY5M5cDoOC6S1L0OkcCXSHo931GzWfT63n8vFZrjWoe\nVgqnWuXqnp7jev/ZxMmGMOSsXA5pRh0tFovFYjlZaP4SPt8e/3LrkUGTFlF0HAZ9nxowoTWZqavd\nvo8rBHdNTPBYpULoOATQ0iN512V9pdJoMJRKsxolWj1isSwttrlgsaxC5tqbk1pzsF7H6ehsB45D\nRTaCl3o8j7KUrSLS5/v0+H7LUKj5ukIIzsrnmcgyDiYJChgMAgLH4Q1/+Zd8U2v23HHHDHNHL4rY\nfs01vPJ//S8OpCm+cTk+nGVMmU581RgUDSUJd09NcVVPz4zvYTljkmYbCWwaNw0nCZKGEVTJ8+j3\nPEaO691eoP2mpyZla69ztnUWi8VisVhOFlZajwBMZRnjUrI1l0M5DgP5PJ4QODQ8IPaa6QiEYChJ\nZugRqRTP1Gq4pk63Y/WIxbL02OaCxbIKmWtvLtWaDPBpjNFlWrfGAz1gWkrOzOVYb8yPHGBtELQK\neefrukIwYDKim3uTCnCjiP/n//wffvjjHzN8661MjozQMzDA+b/yK2zYuZOCGe1zhUDSGPFryg5l\nbhVCx2kU0I5O+XLGJM02EiiEYGsUcUVXF3vrdc4tFFqf5b7Dh3lJPs9zccxFS9DRd4XgqVqtNXVi\nY6AsFovFcjKz0noEM9I/kWWN1xGCoG2loN/3CR0HRwhipY7QI5hp0NmMEq0esViWHttcsFhWIXPt\nzTnAhiDgyVqNipRkSjFlIpsKjkNNSoaThLW+j++6LXdmBS3zovbX1VoTK8WeWo3EmEeWPI8LCgXO\nKJVIXv5yePnL2XXgAAODg3iOQ5/ncWVXFz+emmI8y3i+Xue5Wo0u49rsmNuE/rbbieZ+Y/sYpNSa\nVGt8IZY0Jmmu/cmzcjn2dXyeqTnTQg2U2kXRbOe0MVAWi8ViOZVYNXrEvPawqdmdemQ4SRhNU0aS\nhJLn0eN5CGBdEOAKQU1Kq0ewesSy/NjmgsWySpmtKG3J5ahKyZPVKlprppWiJiUayAvBzq4ufDN6\neFY+3yqa7UY+7a/7ZLXKk5UKvb7fcGQ2jYEJKXkmjtmRz7MxinCHhlhfKJB3XbbkcmitEQBaszmX\nYzjLKEtJohTbcjnWmhzppohoUleKWCkOGhGQGYHQ7/tsaHOQPh5mM6Nqfg6BcWveXa8zmqbsl5Lp\n6Wn6PG/OOKrGt6n57+lpnqnVQGsi1511tNDGQFksFovlVONk0CPrggCA0TRlKsuQWnNBm5dCp1Gi\n1SNWj1iWB9tcsFhWKbMVJYB9tRrnF4s8Ui6zN44RQMl1WeP7/EJ3N3vjmOEkoS7ljKLT+brnFwpU\npGQyy/AchyljsgQwJSX7ajWu6Ori0q4utOdx7tq1jXhMKbnl8GG2RRGOaOQzbwiCVvb1dT09FDwP\nBUe4E0eOw/44ZjzLcKA1EjmapkitlzQmqdMRunlLcvv4OGNpOmO0EuChSmXWMUGtNf80PMyjJiqr\nKT6aLtntz7ExUBaLxWI51ThZ9IgwPlBTStHtulxaKs1YrbB6pIHVI5blxDYXLJYV4mgjbU3ai1JF\nSlKtOSOXo64UI2mKA4SOgxKi9bX1QcC1vb2sMU7Ks5FqjTJ/rTcd/6ksYzTLqEqJozV7ajV8x0Fo\nzROVCndMTLCvXmd3vc6A73N+ocAlxSIvzef56dQUe+KYn05NUfQ8zisUuMjsE7bTnHig/VzNSYhl\n5oJCgf8cHwchWjnTJddlmxnNnG1M8N7paR6rVPCFaJ15NEka34txmW4+x8ZAWSwWi+Vk41TVIz+Z\nnLR6xOoRywnGNhcslhPM8bgTNzvRu+t1pqUk57o0e88VKdkfx7wknydynHkLefO18q6LZ/KgN4Rh\ny4yx3/PYns+Tc1321+s8kmXkJyYYS1OKnkfeuEE/Wqm0zlxwXc7J57mwWCQ0HfEHOrrvdaXYGASt\niYfWGGIQsMH3j9iHXIjYWcxjY6053axs/LxWY1gIxtOUe6Wk5Dj8j95eip4343V312otU6gmzfOv\n7zgzLF9mtsVisVgsS4nVI1aPWCxLjW0uWCwnmONxJ3aF4LQw5GdTU3hC0OW6TGUZQgh6PI+xLCNR\nii25XKuozVXoXCHYksuxt15nLMtAa8pK4TsORddlrTFBklqzS0o2mOhJgC7PY8r4LDxvnIgdIVjr\n++TbCltn9z1yHELX5QzPY2sUzTBQao4hLkbsLFYY+UKggGfqdaayDE+I1tjgpIlsurSrq/X4ujGQ\n8mYZH8yUarlQtzPXjqXFYrFYLKsJq0esHrFYlhrbXLBYTiBL4d57dj5Pt+syrRRrPA8NaKDP80ik\nZDAI2FksLqjQNR93+8QE++t16lIyEAScVyi08phTrakbF2ffFOqmcdJYkjCZpkTGWKn5nCadpkGd\nY3rtgqM5pnff9PSCxc5ChVH7Z/FMtcp95TK9bXuKikZE1oE4ZmdbBFRk9hL7fZ9RM/LZRAjBtjbR\n1EnnjqXFYrFYLKsFq0esHrFYlgPbXLBYTiBL4d6bc112tGUjN7v3qcmRvqK7G7HAoiiE4JKuLi4q\nlRhPU74zOtoaw1OAS6O7HgmBb/YCPXMrsD4IGPB9zi0UCNreo53ZTIPmG9NbjNhZzGPbi/4Z+TxP\n1mpMZBl1pVgHrYis+hzio1n0m6OTjhCcVyhwqc2JtlgsFstJyMmqRwIaXglK64aJI1g9YvWIZRVh\nmwuWk5LF7L+tJpbCvbe92975+Ga3fTGFTmvNg+Uy+2o17pue5vkkoeC6bAxDBoKAzUFAQQgOJUnL\nybnLdRkMAvp9n7ONsFioaVD7mF5FSqCxHymEoG7iLBcidhYqjDo/i6Z4ANg3McHFpVJLEM0nPoRp\nqABsz+W4pFQ66k6qxWKxWE5trB45MXqk3/dRWiOFYDRJqCpFt+exPgjQQlg9chL9s2c5tbHNBctJ\nxfGYD60Glsq992gmPYu5kWh+nnvjmC7Po641E1nGgSRBA+UsY7sQOMUij1YqTKQph42r8RsGBmYY\nAy3UNKgpIDoff0GhMEPsSK1btyGdhXahwqjzs3CNCBlNEhwjfHxxZP52E7uzaLFYLJZOrB5pcKL0\nyPNxTLfncanrQqnEo5UKY0lCrDUXFotc3dNj9YjFsgqwzQXLScXxmA+dKI52i7EU7r1HKzALLXTN\nLjo0Ruxc0w0fDAISpdhZKnHf9DR5x+HMfJ5tuRxx01RICC5q65YvpuDN93PcFEXsq9XYG8czxv7O\nLRRm7BguVBjN9lk0dzEPmMc3nzPfz8DuLFosFoulidUjDU6EHqlLiec4eEKgheAlbXpEAr82MDDj\nPawesVhWDttcsJw0LIX50HKiteaJLGP/6Oi8txhL2Xmeq8AstNA1u+hCCDJzZgDH/FVXirqUZG2v\n23Rfrkl5xE7mQgre0X6Or12zhicqFYaTBK11IxrK9yk4DveXyzNE20KE0WyfhRCCrVHEGtfll/v7\nbfffYrFYLAvG6pEjWU49orQmMYkInXqkJiWp1gQLPE87Vo9YLEuPbS5YThqWwnxoObm/XGZYa7oX\neIux3J3nhRS69i56Z7yR5zjkHYfIdWf9D8VCdzI7OdrPsaoURdfl8q6uGdFQze+lXbQtVBjN9Vlo\nz7Pdf4vFYrEsCqtHFsfx6pHIddHmnJ165Fi1CFg9YrEsB7a5YDlpWArzoeWi2f12VtEtxkIKXXsX\nvX3vT9FwLHZFw4V4eGRkxr4hsKidzHaO9nMEWsW+8/XnEm1HE0adn4UvBKnWPLbo01ssFovlxY7V\nI4vjePXI2iBAmZSEpjdBM5FiyzwRjEfD6hGLZemxzQXLScNSmQ8tB83u92ys9C3G0Qpds4uutSaW\nkgkp6fE8toQhm6KIC/N5/r89e7h7aoq6lESuy3mFAhcZV+ZjOc9sP8dEKQaDYFlFmwM8Wa22bgz2\nZRnu9PRJY8BlsVgslpXH6pFj43j1iNaaf9q/nwOTkwitWReGbDZ/fiw13OoRi2Xpsc0Fy0nFUpgP\nLQer+RbjaMzVRW/eLNw3PU1eCM5vGwsEeKBSOWbTqvafYywlz5lkikxrbjl8mLKUFBxnxmjkQkXb\nfAZWncZNzZscWD0GXBaLxWJZ/Vg9svQsRI+c5jhs6epqrSg8F8et5x0LVo9YLEuLbS5YTipWawxP\ns/u924ztNVkNtxgLpf1GoWmM1D5e6bbtGsKR+4aLof3n+NPJSbwOMVRwHCpKURRiwaJttliwDWHI\nOfn8jJ3TxRhwnaz55RaLxWJZXqweWT7m0yNeR4PkeNc9rB6xWJaW/5+9NwmS5ErvO3/P11hyq6xE\nZaE2FJYC0Fi7C71Ok+wmxZZGbaRxbEY2ZkOOtcyGOuggM9qY6SQzmfGkg46c4VAX3STeNFrYAjU0\n640U2Wg2AAJodANoVKEStaGyKrNyicXD1zcHf+7lERmRGblVLvX9LkBWZvj6wr+/f6s4F4QjyWEc\nw3N5YoIPTC3gYYpi7IaHkV65FMcboiyOZTGhFN8+ebIvarEZ1ShAzbK42uvxxvo633ccnm80mHNd\nwiwrp11sdi5HfX65IAiC8HAQPfJwED0iekQ4GohzQRB2SdWb/DnH4fNzc4fKu7wbb/du0yu32vdW\nnZpjrccSC4PjpK72eixFEa5StNIUgMUo4kYY8lyjseW5jJp7nWnNC83mvt1biUwIgiAIO0X0yM73\nLXpk43kcprUjHB3EuSAcOo7KA22YN7mdJFyGQxHF2Im3u7j21TrHIr1yO9Mixt33XtWGVkVBqjVL\ncVx2yk6MKKhZFgrK46mec/Vchs291lpzzUQerna71Gx7TyMHEpkQBEE4fIge2b/jEz0iekQ4nohz\nQTg0HLUH2jBv8qI5h82a8TwssTLK2w0bmwUV1/56EPBRt1t2aH6uXuec79PJsm1Nixh333vVcbsq\nCmKtSSoG27GsUoCc8zzmPY+lOCbKsnI/1VTRYdGLq70eS3GM1hrb3Le9bLy0nXslCIIg7C+iR/b/\n+ESPiB4RjifiXBAODUfpgTbMmwz5/OVRzXgeplgZdXzDmgWlWvPjtTUWo4jrYUgrTcv0vYUw5JNe\nj/ta880xp0VsZ98ArzabBGnKYhSRar1pbegoIVQVBa5SZVfnDJhz3fJvfdvma9PTQG60f37jxoZz\nGIxelJEH+oXBXs0M3+71EgRBEPYX0SP7f3yiR0SPCMeTHTkXfvKTn/AHf/AHXLp0CYBnn32Wf/kv\n/+WeHpjwaHHUHmhb1eYNayy0XbGym4jCOMfXsCzebrdZCALeMB2S70QRZ30fyGcw3zUjmdbNZ6tp\ngaPuy7jXZlDc2Epxxvf56tRU38gnGE8IVcdJTVoWa2nKKc/j6VqtvJ7V6EPTjH4aZDB6UUQeHKWY\n87wNs7B320RqJ2tJEIQc0SPCXiN6RPSI6BHRI8LO2XHmwpe//GX+6I/+aC+PRXiEOWoPtO3W5m1H\nrGxmuDIYy8APO76iRrHoXlzsIyOPcGRas5ok2ErxuOeRAW3zcwrlZwtG3Zdxr83QNM4o4o31db42\nPd23r3GEUHWc1G+eOMEH3S63wpDeDjplV4VBqjXKGPJCGAw7n51ylGeSC8JhQPSIsJeIHtlfPVLt\nl1Acn+iR0YgeEY4aUhZxzDkqzYiO2gOt6k0GSkOZjajN245YGWa4rgcBH3Q6TNj2WCmM1eOzeFCj\nF6Upp32ft1stbpp50ZCn16E1jlKsJQlaa9aThF6a4tg2qWmqVGXUfRmnbnFQ3Gity2MMs4zFKOJi\nvV4KmO1EkWylmHAcvjQ1xeUdrv/B+eVP1evcDsO+a71XM8P3qs5TEAThMCN6ZH8obMhCEJABrlLY\nh1CPXA8CFsKQpTgmyTIspXix2UQP6AHRI/2IHhGOGjt2Lly5coV/+k//KWtra/yzf/bP+PrXv76X\nxyXskqPWjOgoPtC+0GzyQafD+51O2VioqfXQxkLjipVREYWFMGQxivjq1NTY9Z+Ft/sHKyvciSJ8\ny+JMrcbTtRqfBAHXgoAXjSGcc12Woogp2+Zqt8uSUkRa41sWKo6Js4xPgoCn6nVirbGAi/X6yPtS\n9bQPm7E9KG6KUU2WUthQGnCA5xuNHUWRBoXsToStrfL55V+anORtIx72Y2b4duo8BUHoR/TI4Ub0\nyP6itUZrzUKvx50wRCvFac9jHobakIPSIx90OixGEVprHMtiznVpWhZvrK+XNl70yGhEjwhHBaW1\n1tv90OLiIm+99Rb/8B/+Q27cuMF3vvMd/uIv/gLP84b+/VtvvbXrAxW2xwdJwqLW5fgbgExr5pXi\nc87DSVhJtSYCPBjr4am15sM05Y7WJOSer9NK8bxtH0oBUlxjgBhwzb+Pusbj3JN2lvGjJKGpVPl3\nmdb8PE1JgBdsG39A7Pya44y8vlGW8b0kwQL8gW3+LE152baxlEJrzU2tWU5TfpwkuEDdsphRigaQ\nZRlrSvGEZaGU4qRSvGblc7Q3uzej1kCqNX9pUhwzrXk/TcvfZ1rzojmuVGu+btv8deX3g9v/NXPt\niv1YwC+ShJvm3rhK0dOaGpAqNXJdjbNet7umt2JwzVtaM6sUL9v2hjpP4Xjz2muvHfQhHElEjxx+\nRI/sL9Xrm2lNDNha87ix0Vt9pmA/9UiqNT9MElKt0fTrkVhr0BrX2LyjrEe+btukSpX7SLKMn6Up\n97UmM84K0SPCYWe3emRHT/X5+Xm+/e1vA3DhwgXm5uZYXFzk/PnzIz+z38LprbfeOpbibCfnlWrN\njaUlpkc8/D4/N7evnvciSnF7kyjFqPP6IkcjdXLUNb5y9SoTTz019Bpf3iR6A3n64VIQsL6+Tmi8\n+k/XaoRac3d9HceyeH5ysm+7QZry4txcn6c81ZogTfmg2+XTIGBpbY2m41B3XS76Pgn5C3fc7XK2\nVqNpZjGfyzJ+0W7zyeoqJ10XSylmHIczvs/Pbt9mdnKSb506xbQRD6nWqFpt7M7Zg/fVbrW40esR\nm/PzLKvspvxMvV6e3ytzc3jd7tAo0jnfR1U8+K5SvN/p0ElTNHl6ZZCmeEox4fs8b7ZbHDu//CWX\nL1/ecr3uF2+1Wkz0ejw3cF7ONq7r0O3K8/BIIS+8O0f0yMND9Mjh0yObXd+Prlzhf7t8eehxP2w9\n8narxd3lZWxyu1zVI2mWca5WYymOS22xn3pk2D3drR5JsoxOlrFoSkVcpehkGZ+FIYtxjG+uodaa\nbhwz4XmiR444x/m8dsuOnAv/5b/8F+7du8fv//7vc+/ePZaXl5mfn9/1wQh7w0E3I9rtCKci9esw\ns5NrPFg3VzVsbxnD5lkWZ32fpThmKYoAuOD7JFpzakhEoJrCWIiohSDg/XabbpZxyvNo2DZKa37W\nbvNeu80p18WxLE7YNhd9n79eX+eOSXNMdN4kybMsFNBOU26HIR2tmbQs/KoxVuN1zh6WEnvWvOhn\nWnO91yPTujTkT9dqG5pPjkprrNZq1m2bX3a7vNNuc8J1yyZQN3o9phwH27J40qS0Fsd+pnJsO12v\nO+WgOpIfdrEsCNtB9MjhRvTI/rLZ9U3M74cd/8PWI+00ZTlJ8ukPA3pEKcVT9TpnPY+/XFvbNz0y\nqjzn1WaT50bokSdrNXrGWVCc3zA90skymuZ46rbNlSDgThhyL47LiRd3o4hFMwFjKY4feT0iWuT4\nsiPnwm/8xm/wz//5P+d73/secRzzh3/4hyNTEIWHz0E2IzpqI5x2+nDbzTUeFCuD16zoAHwvinh7\nfZ3PfJ9Ia+6ZGsCnazWU8dRX6z/farX40eoqS3HMh90urlLci2NmbJvVJKGVpiilcIyhU0pxpdfj\nYq3GOd/nnXYbC1iMY+4nCScdBwWsJgmJ1sw4zobzqorDUdeyMJYFV4OAn6yvM23bXGo0mHNdfuvk\nSZaSBFepDc0n32m3uTwxsUEIAfzZ0lK5r1Rr7hgBtJ4kzHseiREJ62nKbJr2dZiOsoxAa1aGrFeA\nj7tdXm42R97n3dJJU1pJwuQQkbYfovuo1T0LwjiIHjnciB4Zj/3QIg5seX0fph7ppSmYUoxWkqCU\nwvI8Tnket6OIdpruqx6pvrh7lkWUZXz//n1+uLLCed8v+z0UeuR6GPLTVquv+aTFRseMqxSvLy/3\naZGlOAalWEkSHvd9LPLeDStJwuNGmzyqekS0yPFnR86FiYkJ/s2/+Td7fSzCHnGQzYgOOkoxLrt9\nuI26xqO6M28mHAavmVKKZ+r1PH0uTbk8OUnDsrja63E3igjTlOebzb4UxlRrfrS6yv04JtN5g6PC\n059mGUoplFLlvs74Phd9n5+0Wnx1aorMHLtjWTxRq/Fpr0eidf5yrjW+1rzUbA6NVPhKlZGOYaOq\nqh2ib4YhnTRl2ra5ozVr5oV/3nV53Pf5pJJCWDSfrHrtq0Kok6Z91y02tZxFimSi827TSinCLCOF\nvg7ThZGubqPaJbqTJABcajT21OhVIzrvtdt4tl1mbBT72A/RfVAREUHYT0SPHG5Ej2zOfmmRVGtO\nm6j4IAelR3zLYimKcG0bBegsY8ZxeLpWIwPe73T2TY+82myW07OuBEGfHpm0LLTWrKQpYZYx77r0\nsqyvvLJoPvl2u13ay0KPDNMiSZbhWBbKHLen8h4TidZEOm+S+KjqEdEixx8ZRXlM2ao77n7xsKIU\nu02n2ouH27BrPK9U3zUeRzgMu2ap1iwnCU3jnS8MfJGi9+2TJ/s+00lT7oQhNdvGgbJRkiL3lD9V\nr3PWcYiyjK9NT+dRhCyjZ17uXaXKhj2Pex6LUUSsNffjmFhrJoC7YTg0UvFupzPyWj7faPBRENBK\nUzKtaSUJNvBpr0cKnPI86pbFappy0ez/K1NT5SgtANtsbzDKNHjdXKXwLYspx2E1SXCUYjGKWE0S\n1uOYWcfhWq9XCpnztVreeKmyjcKQW1Be+702esV68IwDZSmK8igH8Ey9vmPRXf1ODPvdUYngCYJw\nvDjOeuSwapHztRp6wHFy0HrEMs7+875PzbaxgOcaDZRSxPusRwLjALhl7G1Vjyz0eiTAxVqNumVx\nP0nItOaU53GhVuvTI+NqEceysIAZ18UCPosi1k0G6dVul4v1OsUnimN/FPSIaJFHA3EuHFM2q6fb\nT/Y7SlE1jr00BZXX6n1pcnJsT+5OHm7DBMSwa/zO9et9xzEoHFKt+bjbJdWaL09NlfsdvGax1kRp\nypnKNUu1JjQGuGOMcHWsUaQ1nkk5nLJt1pMEy3jLHbONM75festdpajZdmk451yXpThmMY6pWxYT\npkPyrOOgez1iYDGKCLOM5xuNMhrw3Uo64OC1fKHRYCWOuRfHLMUxd6II16RENmybOMvI8htLN025\nGYY8NWSk1LAok60UZ3yfT4KgvA5zrkuaZUzZNp+FIStJwoxtM++6nPY8FoKAOMv4e7OzXJ6Y4O3K\ntQdKQ55pzZxJrY61ZiEI9sTojUo5XYpjboUhF3y/nKc9LsMEYztJuKx1uRaPQgRPEITjyXHUI4PP\nXVsp5j2Pr05Njd1Zf6cvWoN6ZNT1fWvgs4NlAYVtA/qi8ePokSjL6GYZtjmWQo9A7lxIzT6H6RHX\naJI51y23t996ZDGKUEpxL4q4Y16gCz2yniRM2zaRsflhlgFwJ4q4OLBORmmR87UaC0FAZs5lznW5\nG0W81GxyMwxZTRKyLONJ3+eE6+IAf9dq8dLERGnzHwU9Ilrk0UCcC8ech9WMqGrs9jNK8Xa73Zdm\nn2QZ77Tb/LLb5ffm58dyMGzn4TaOp3/UNa4+uKvpbcUxK+CLxikyeM1spTjt+zxtmhZeCQLe73RY\nMfWHP1hZ4XnThKirde5tj2NuRRHTts1pNx+MuZamTNo2pzwP23j5q7zUbJb//3StRqY1H3Y6NGyb\ndpYxZ17K71gWddvm8sQEsdZlpGIwHe6mzd0AACAASURBVHDwWq4nCdd6PW6YTIX1NMVVilVzHn+1\ntoZtWaRZxl3jgPAsizPm3IuIRGGwC4r7cqvXY6HXY9U4EZ6t13nMdalbFn+9tsZJ12XedJq+ZzpR\nL8UxqX4wgbe49h93u3RMdOak6epc1FtmWjPveXx9enpX6YijUk6frNVYTxK+NTvL1DZHsw2LfC2a\n61MIxoOsexYEQYDjpUeK564FZTQ8zDLeWF/n10+cGCt1fbsvWlvpkc2ub6FHqmUBRer+Qq/Hq81m\n6RTZTI9kWcaP1ta4HoZEaUorTfPyyslJbscxGjjnedyPY1aThDOex+Pmxfgg9UiqNTO2zTvtNitx\nnOuRJCHOMuIs47005U4cP/is1kyY/y/0SAYbtEhxX7TWXOv1uBNFKKMXXmg0aNg2t6OIZ+p1TjgO\nl2o1Po0i7kYRK2Y0Z5XjrkdEizwaiHPhmPGwu69uZuz2OkpRGMeFMGTJNBMqHlI/73R4s9XiSyYb\nYDO283DbTcpi9cF9tdfrO+Yoy/gkCLBMxGFoFoTZ97Vej/fbbVppSivLcC2LQGs+DgLumf4EpzyP\nL0xO8n6nw7ppeHSuVuNZy+ILExN848QJ3ut0uBoEeQ2kUlys1Xix0eDDIOBWGBJlGWd9n9cmJznn\n+/ys3aZWMdJRmtLNMlxy77lXuZbFdIdq+qBnWfyy2+VuGBJkGYERS6smyuEBjlJ00zzGcTsMqVkW\njlJlLadrWXlTSsfh9eXlcm0V98WxLF5sNsusjvP1Ol+ammI9SeikKVOmFGIpjnGUwjFjoq50u/l6\nNd701yYnedkIG1cprgRBWVpRjKRajKK+F/adMGrt2Uox5TjbFt6jIl/WQOTrIOueBUF4NDmueqT6\n3L0SBKVtr1sWK0myIRtgFNt90doLPXIrijbopzthyBvr6/zKzAwwIivT7Psv19bKY+hqjW1Z3A5D\nvhvHXKzVwNibVyYmeK/d5nYU8Zjrctr3N+iRj00m4YRtc6FW4/l6fV/1SM2yuGumTaRa00pTtHm5\nT7TGBu4bTTVt23SzDE8pFsOQT4KAumUx67p9WkQpxdvtNjfDkOcaDZ6p14lNn4mL9TqX6vVSi5Tr\nxegR35SYLARBPjL7EdEjokWOP+JcOCYcVPfVrYzdXkYpih4BS3Fc1vAVZFpzNQi4PDB3eRjjPtx2\nWxtWNXSDx+xY+Rilwe1UIw+XJyZIteZv1tZYSdPyb2ZN1+RWkrCaJHyu2WQpjsvSkLtRRDtJqJGL\nhPtJwv916xZoTWjGQYVa845t80PH4blGg7O1Gi80GniWxevLywB4leyNpSxjNQzRJp3x6UaDL05O\nYpE3jfx5p1M2YJpzXc6bDtB/uboKZm0UHZwXul2CLENbFsumSdEp16WbZZz1PII05WYUsRiG+Sio\nep3PNRqlgcq05lYY9l17Wykats2tMOSy1jRtu/S4F6mFxbncjSLearV4s9XidJJgt1pcnpjAVXmz\npb9rtfhlEOAaA3vKdXnM8/CG3K/tshPDOkygF/+Waj125Oug6p4FQXi0OO56pHhR9yxrg21PTKnf\nOLZiO/ZgL/RIkbk3qJ8822Yxiki13mBXq/YjyjIWer28GaP5m1nHQWvNJ70eF2o1HOjTI5+FIc/V\n63xmyhLuJwl/dPMmt8MQZc5LK8UF3+eTbhfftjnj+3umR2YdhzOex5P1Ot9fWWHCcXBM2UOUZXSy\nvHFj3bJYT9OybGPadYnSlFthyILp2fDCxASnPQ+LB+vq8xMTffelcOZj/ublZrN0LJRasHJ9r5kg\nUar1I6NHRIscf8S5cEw4iO6rD7sxi6sUPVP7Vxt4eBXpfOPWa43zcNttbVjx4P642yUx+wDK+cm2\nUgRpuukc6hebTX7RbBLrfPLBJ0FAcUUjrcsOypjI/Vkz4mghCFBaM+l5/G2rRc2yuBOGYO7H/Thm\n1hzDQhiWKZWvTU6WxqaoebwTRbSyjCcdB984D26ZZkoATfNvd6KIMEl4t9fjU9fl1UaDv1hezpsj\nASl5hEFZFg3yZo6TjsNKHNNKU2Zsm9BkZlyq1wmzjGeMwPik1+MZ04vhahCA1jSHpOtFRijYSnHW\n9GMorr3WmvfabTpZxrqJWMRpynUTZSrO5YTrQhCQas1qkjBl22X65k5qAgeN8bCU03nP49VKSigM\nF+jnzBjRmyayYyvFjTDkUr2+QbQPRr4Oqu5ZEIRHi+OuR1ylyMhr86u2HXIt4io1tq0Y90VrL/TI\nvOcRZhn1yvEWeqSwU6O2oZTi6XqdC76Pb9tkWpd6JAXiLCPMMhzbJjH/f9bz6KQp18OQVpJQcxz+\nttViJY5ppynTrkum80aN60mCbVk84zjcNsGD3eiRz8KQ20HAByYDItOav1pZoZcktLVmPUnoZhm+\nUmiT/VmzLLrmJdlXirrjcMJxWHNdTrgupzyP5SRBGT1yo9fjUr2+5X2Zc10Wo4gMyvWSZhmfhiEf\nG2fUYdAj1T5mg+tvL/WIaJHjjzgXjgEH1X31YTVmqT7UbkcRV3s9TjgOj3seyhj5Odelto16rerD\nrWPS8pu23fdA3IvasCL74J12m8jUNxZjfsbZTs2ymLRtGuY6Vu+jZxwCNnAnjnnHpCC2koS1JOFJ\ns4/rYciUbdNKU1aShE6WoYC7piOwBp40BvzzExOlUdFaE5jP1CyLU67bN6JoIQjQWnMjirifJGiz\nTVspGpbFLfPv62ZSRNM0cHQBLIt5z+Ok49A1458Cy+Ka6TB90jgOHKWwyCMhT1Y96UPWs9aahV6P\n7y4tYZGPveqZc42yjMUoopNlnHTdPPKiFG2tWQjDvKmkuR/PNxqsmvMpGmFm5FMrtlMTuFn07rXJ\nSV5tNnljfZ3FKOJ2GPKfl5b6GoINE+g/Wl0F4NlGo+9793EQ8GyjUf48aiQqPLy6Z0EQHj2Osx6p\nPtMXej3umz5BZwa0SNEwcRxbMfii5SpFbPoMVY92L/TIV6emeGN9nZUkKfstFDY9M/vYjBnHKZsu\nZpUIvQW4JhtTA/cqeqRolnjO99Hkk6LW0pRZx2EhCDbokYu+j1OJyu9Uj9w1TohZx2HStvPeT2FI\nr1IGoUymhlvRIx8ah0nHaAZt9m0ZLVLVI5HJgBh2X6p6RGnNbZOdUPSQ6hoHjG22e5B65PLERJn9\nC3mJ6pvA54zOsJXaFz0iWuT4Is6FY8BBdV/dq8YsW9VlVh9qLzUaLEVROff4XK3GnOty0fe3Xa+l\nzUv/Zs2RdlsbppTiy1NTKOCTIMAfSCXbaju2Ulys10shM+U4rJtSgknHYcZ4+YsuzIFxlGRasxjH\nzHke2ni8V5KETpKglMJTihRYNf0ZvqDzhkTFWinEztfjmIv373Oj0+G5qam+Y+2mKZ8EAZExvL5l\n0dManWVl+UJgMiui7EHPBQuYdF2U1qyaNEStNTVzzW/0enyqNZnJUphyHGZtm9gIgZplcdrz+LTX\nK6+n1prvr6ywmiQsx3Epmi76Pi80mzhK8WarRStNy5TOKccBk9ZalJp4ZnvznpfXpZJ/h2IjSLaz\nxraK3r3b6bAUx7hKcd00KI3SlJ+sr/OrMzPcMj0lquvuvrn31fTVS/U6vwwCIhNxGTYSVRAE4WFw\nnPVI9Zn+QqPB1V6Pu0aPXKjXy5fdndSPW8CH3e6+6hHHsvj1Eyf6phoU6frjbMOzLF5qNvl5p4Nj\n0vQLPfJUrYZF/mIKeZ1910Ta15OEz5RizmRWto1OWR/QI8tJwkdBwIvNZt9a2a4ewWS5+iqfTBVn\neRPEnnFQWErRThIS8pf8ExU9ApRjMmtK8Vmvx90kYc7zNuiRYl0VmQnF+hulR57wfWZdlynb5qet\nVllactB6BOBWGNK07bL5+E/W15m2bZ5vNjnj+6JHhG0hzoVjwEF1Xx00dkUTnaKRzVYPvXHqMgej\nIEopvjkzwxXT9Odz9TqOZXF2B/Va46Ru7lVt2BcnJ8ueAYFJ2y9S4bdyrlyemEBrzY9WVwmzjMgY\nx0v1Os/Uavz1+joN26ZrxlOecBxs8skMp8jvU5ymdNN06IisdppiAfbAWrGV4qTr0rDtMkuiim9Z\ndLIM33wmMV55RynW0pTVJCn7LHSzLO+obD57wfNAKT6LIiYdB08pnqzXWTDioO44POF5tNOUdTNz\n2lWKxNRIfhaGXAsCVtOUGcfB0pq1JOGc75drZymKgDwSctJ1ebPVytMPyQ35ac/jDnmaomtZ+JXz\nq45kio1z5IlGo7zvg/ds2M+bRe9ebjb7G4KZOsyabXM/Sfi42+VTk15YCMBYaxITKYkrxlypvF71\nW7OzpfNlcCSqIAjCw+C46pFhWqTorP+LTodn6nUyY+uGpZVvxcPSI8O2cdb3ea5eLycXbKZHfvfU\nKf707l3e73SYsCwSy2LGcfjK5CQ3oohbYcgpzyPKMhq2zVnf54opRTxFnnFJltGGDXrEUYr7JsI/\nuFZ+8uMf8+/+/b/n54uLJMDv/P7v87kvfan8fVWPRBUtYg3okdiUkKZQlpg+5jik5BkXc57HE76P\nApajiEjrMptSQalHiv4Ory8vE5o+URo47/tc7/W21CNFBsNB65Gi+WjxnS2mmjlK0TJ645Mg4BNT\nAiJ6RBgHcS4cA/bCo71Tqi++d0yDndOexxNmhOJmD5RxjOmwKEhh1HtZRkK+iG+HIW8b7+g4D7Fx\nUzf3qjas2E6RCn/bdB/+m7U1bKU453n4tl3Oag617pth/cWpKb4wOVmWcNSsfEZ10QzJMyUANcvC\nMue3FsdkWjPlOCyZ7XlKgcqbPqLyZku+ZfFRt8vfN8Zg8Hqcr9W4qvvHJaVac8b3me31aBnnhGOO\nNTZZCIEZOxVkGUrlnbQTIDM1iDOeh29ZPNtocKFW42Ktxn++d4+uOa8ZUxqxYsZLpVoTZBlNy8qn\nRJiSk5Z5GZ9z3b57b6m8edXjrsvnJye5F8fMe17Zdbn6d5fq9dL5U1zzp2s1YrM/WyluhyFvmc8U\nNYauUnTM3xSRjPO1Gs9tUYe5miT9DcEqv4+zjE97Pd40tameiXo8WauVYmxwFJZnWTRN+uJ+8LC7\nvguCcDQ5rnpkVEaGbWzFac/jtnmBPMx6pLqNIE35RbfL9V6PDzod7kTRlnrEsiz+99OnSzs2Y5oV\nFg39Xl9awjY65M1Wi1TnIx1XjB6Zdl3uxjG9NGXCdfNySvNiXotjPiYvvyj0SLfb5Tvf+Q6vv/46\nQaUfwZv/9b/yxd/8Tf7PP/5jnHq9T4845gVYkwc9qnqkm6bEQMNxyABlejJMOQ7NJOFXpqd5wWiL\nQo8kxmnRy7I8+KEU7TRlytjchuPwrOMQZRknHIdOmh4ZPdIx2Zx9zcfN7xKz5m+FIW+ur4seEcZG\nnAvHhIPqvqrMg+9ircaFWq30at40TQJHNW9Kteb2GMZ01Gihq8aIFIatOHcYr2FUVSgMbntY6uZe\n1Ya9027zk/V17icJN8MwH1Fk2yjgmXqdH66s8MOVFc77/tC0yOrMYc9cxyJ1rmFZhFnG9TAk05r1\nLONuFDHrODR8n2lTD3krinCNQ6KmFCdcd4NxqHJ5YoIPjPe7urZebTa5F0UshCH3TMRiOY5Js6xs\n1JSRRwcmzTlaWhMpxbVeD3q9PKXQ83jCnMu87+fjK+OYpSgiAU44DrOuy7QZI1kY7GKu9O0w5Bed\nDjUTQSl6cUBuHDH37mK9jgX5KFMz4zvRmhebTb5YWTM3ej16WT4q1FOKl5rNcnuDNYZXgoC7UcQp\nz+OZer38fGbuyzA8c5yeEQCDDcHuxTG2uWbwoMYT8s7cwEMT7QfV9V0QhKPLcdQj1YyMQc1wM4pw\nzAtVwWHXI7ZSfNjt8lerqzvSI56VN0EsKLIUi5KCq70ed6KofHlOtEYBM7bNK80m13o9XKVYTVM8\npZh2HKZsu5zWUPCd73yH//Af/sOG4496Pf7mu98lA/7vP/3TDXqkk6Ysm7GSU45DZoIWNbOPninV\nTMkj85axy/eThGu9Hmc9r0+POCZrYNp1OeE43Oz1uNRolH0btNZcD0P+Zm2NWGtuRxHTtn3o9Uh1\nHQ3qEceyuBGG3I9j0SPCthDnwjHhoLqvFh73wQdXkW51qV4f6sGMYKy6zFGjhe5FEfO+35f+6Krx\nG0bVLKucH1w82Kt1+vuRuplqzQ9XV1kxdWpBmmKb8/tZp4OGsobtaZPGuZVAqUaJrpmX9RnHYTVJ\nOO/7nPI8nq3X+cePP87ftdtc6XZ5p90Gcg95ojWnPY9nGw1uhiFf0HrDtVNK8TnH4fNzc30Np2IT\nkTjreWRaczMMOek4LMcxHdOAKEzTfMoHkJB7uGuuy6TjkGrNSdfllOtyL47R5EbLtfJmTbbKx0xp\nrVmIIl5fXuZOFPFko8Gc66K1Ztl40n2lmKjUf54xXYyVyjsf2+pBzZ9SisddF5QiWlri9+bnS8NU\nNOC80u2yHMfUbJurvV7Z8KpaY4g5XsdEJKoNJ68GARdrtTISVF0D52u10iguBEFfamghwByTqnrS\ndblvmm8tRhH/89wclhHLD0O0H0TXd0EQjjbHVY+c831+ZF7GC80wYz4zzPHwqOqRH66scD+OOWs0\nWpHhMOu6/A/T03x1aoq/a7f5ZafD2+12fn7GkVLVI8F//++8/vrrm57Hu9/7HmvvvUf81a/26ZFZ\nxyHMMlppCnGcBzdMEGY9SUjJpzHYjlMGbSZtu8ykyEwUf5ge+djorY+CgPOm71ehR4pm0jOOw5p5\nCT8oPQK5w+B6r8f5Wq2cwlFdAxcrTghXqVKPZFoza/SHpZToEWFbiHPhmLFXEfZxGZYqWDSEuVV4\nwh1ng3fRY3iHXeivy3y73aZpPOSF0b0VhsRa81SttsEYT9o2v54kOGYbo4y6bdLH7kYRjvHCQ25U\nHjOGZK/ppCl3ooj6QE2gIh8NeTsMaZjofFHDNpjJMUiqdZny9sb6Olpr5j2PFxoNzploA+QG7IuT\nk4RZxtutVtkA8oznjT3WqGg49Wm3y/fX1rgdhtTIX4Sv9XrMOg6ebfNUvc6863I9DLkfRdi2zdUg\nINN5gyVtzq1j9nc3igiMKLSUYsKy6Jj9gTGgWuPbNpH5t7thyJ04Lkchzbgu857HPSNkZk1/iZea\nTb5kjM4wwfvOzZt9Hu+3221uhyGuZfVNqgA45/t9NYbwYKxUmT4YRSwVzhWtSwFTTVF8tdmkk6bl\n6MlrJsJTCJI0y0dTPWaiD4VYTbOMFycmaNo2X3gIaYEH1fVdEITjwXHTI8OITblFsZ9HXY88U6vx\nPZ03VYyzrE+P2Erxtelp7IoeeafdJjH7PuP7fXrk3/3pn/aVQgwjCAL+4E/+hEtTUxv0yAnX5YLv\nl6Oy70URvpmcVdUjjlKspyn1MfVIpjWznkfP6IGqHvFMf4Yi++Ig9EicZXzY7dJKUxKTnXHKdTnn\n+xscAa82m/SyvOHlrTBk0rZZTRLmPY+znpevScsSPSJsC3EuCLtiWPOmwsAW6WjDPN7j1GUWDxPH\nssrGSUWDpp+2WlwJgtyryoN6sZ+12/zJrVs8Va9vmjKVar3BaeGYn5tmW/vxoFLGCBQ1gQXF/GNs\nu5yTXTDspX8wPSwB6krxXLNJbSAyE6Rp+fmvTU+X85Yts99xxxoV+/vv6+sshmHeYNGcS5imxI7D\nsyYqr8i9922tmQN84/VvmtGTrTTNSzIch9PGQdCOIk75Pg3H4Y31dSweNFyaMvWRTSN2LHKjXUQE\nilTBQgy8ODFRphcO3vtRgnfQeBUe/MKgXzAjsuBBjWHxc5k+aNZj03FKgXvG93mx2cRXinc7Hb67\nvNxn3P/g7Fl+0mqxGEXEWcZKkvR1HS+iYK5tl/dnP0V7Uc9YlME87K7vgiAIO2G/9cjNMOTZRqPv\nuQzwxvo6H4se4YZpZHg7DDlbq/GECXAU265qEWUcDZvpkfba2ljnsb66OlKPuEpxN44Jsox2ltE0\nU7Z8lfdk2IkemXEcmmYKRmKu4WqScNrzOGUCNkWJzkHokXtmJHjhqMrIR31edBx+22SgDtMjZ3yf\nvzczwwdBwO0wpJemKKVEjwjbRpwLwq4YNMpFQxi0Zs7zygfjMO/iVnWZg1GIwnOe6ryhzs1ejwnH\nQWvNZ1HEgqktC7XGtSwu1esjU6Z6xhtfdVoUNY5VA7iXNG2b077P/TjGUg/GOGmtOek4eYOhgesG\nw1/6C0NukfdQuBtFfNhu82kY8vLERGncBj9vK8UTtdqG1M5Zx+EbMzPl9R30QkdZxqfdLhZwvZJa\nV3RP7mqdj9oEXNsmNPfzpOvyO7Oz/LfVVcI0pWFZtLKMdhwz5bqspWk5Fgug2+vxO489xqqJDmRa\n84lZW45SnPU8Trpu3jXZrI8i2pEBZzyPFPhHjz02MhI1iup6s41BvWuET2ayCWYdh0RrWmlK07bL\nv5kr0gdhwz28HYZ8fmKCN9bXy3FVgyl9vzIzU173pxsNbvZ6fVEwpfJay/3ps54z6LCyVT4i89l6\nfYMg2s+u74IgCDvhYemRQosAokfI9cj1IGAhDLkbRVw3mSKf1Wp8c2Zm5Ge30iMnTpwY61zcqSlg\nuB5pmZf/WcdhzvP47dlZ/nxlBV8pTprxkjvRI2c9D5v8ZT/ReX+pGccptdeTtdq+65Fp2ybOMsIs\nbzg557rcCcO8tNLcs+IeepbV1z/kx2trG/RIUTbx5akp0SPCrhDngrBrqka5lSREacqZWq1MbysY\n9C4OSwuDfO5wzTwsqg/katphK45ZThJW05RU67zjrVI8Zkb83IkiLJVPlRiWMlXddlUowPAH1V50\np7WV4hszM6UhnTV9B9CaZ+t1XDNj+KznlZGKYc1xqh7toizEUYqTvs9qHOeTIKBMYduquU7hEU6z\njLdarbyBUJqCMZC2UvwgTbm7toaGvN+F55Ve/LUkQZntZGY/S3FMzbJoWBYf9np4ShEDGKP8VhRx\nNwjy8gxyozztuvSyjI+63TKCg857EBQ1kUVq3tNaM2nbXGo08JUq10WUppz2fX7W6Yxs8lPcS1cp\nApMOaivVtya01mitWYwiVoyweMx1CdKUT8KQv1pdxTbX5/LEBK4x3E0jYIq1r7Xmw06HrilHKQRA\nIUAGRW7Ttvni5CQfdbtl3WdRe9u0LN5ut/ettnBYPaMCPg4Cnm00+q7fThs2SZdnQRD2E9Ej47HX\neqRoTOgoxaznsZ4kXA/D0n6MpUXIX5xTY38v/87v4P3bf0tknDLDUL7PhW9/u/y5qkdSpeiZ/k/L\nWpd6xLcsWknCs45Db4d6RCnFyxMTpTPoMc/jadO/oNBl+6VHUp2P0wRYThJ+2moxZdu83GxyqV4n\nNY4Jx7L69EiYpqVT4cfr66JHRI/sG+JceITYry9S1Sh30pSGbQ/10o7yLtoqb7IzrAtsUSNmV14g\n0Zon6nUmjaf7dhjydL3O1SBAme0VI/6erNVGdlselgYZmRrBgr3uTvuaSYtbCAI6Jvp9oVbj+Xqd\nD7pd/nJtjb9ttVBac9r3+cbMTFmjX9y3wqM9OMbwtJktnZjauQu+z8WBedvV1M4ky/goCFhLElaT\nhD+5fZsXGg0cy2LZXNv/trzMjONwTmuaJpJRpO7POk7etFHnfR4W4xgHyhS29SThXKOBoxTnfZ/P\nlOLjIOBxY5h6WUbDsuia63Da8/L6QCNowiwrUw0nTJZAVSD+/dlZlFL8YGWl7FlQiMhhEaLiXl7r\ndvlFt0s7TelGEffu3eOCuU7V5pjLpiHVvOcx7Tjc6vVYS1MumHVZpENalsX/cuoUygiC6nq6aj5j\nQxnlWKo4f4o1V12fsc5rQL9kogdFBAvYt9rCUfWMl+p1Pg6CchToThs2SZdnQRCqiB45Pnqkl2Ub\ntAjAchxzvdfjYq22QYvAAz1S2Jk7UQRas5am/PvFRX7llVd4/td/nff+/M9HnsOJr38d+6WX8utD\nvx5RJo3fUWqDHrkB/KLbBdiVHimu+2+cOPHQ9EjbaDbHsniqXiczASKU4tXJSU64Lhn0aQegnGpS\nlJ5spUcKR1ndsvjK1FRfRg2IHhFGI86FR4CH9UWyTWrdReOdH1W7OIxRXWDP+X7ZVf9WGOaeVuOJ\n/TgIuB4EtNKUc+rBXOMpx8ECgizvFNwYISKqEY4wTblpZi0nWvNnS0ucN7OxCzGxF91pR3XRfqvV\n4nYU8VyjwTP1etlb4sNud2gDnmFjDBWU97WTpnxrdrZvdCX0p9othGE5EzoD1tKUn3W7uCrvDOyo\nvMlUO4ogy3jClCOc8jwWo4gTpkSgmFAx73lcqNXompfp1TQthZFS+bzx1SThXK3GK5OT/HR9Hduy\nsMlT9271emDEykWteW1igq9PT5MBH3S73ApDegPrNwMWgoAnKmPHIDecg4bvp+vrfG9lhV92u6ya\n8w7TlGu93obuzEVzTEcpTnkeF3yfN1utsi7UUgrPfOb9Tof/FbjUaJRrA/I1v2iyPHzLelAzqfqn\nSxQit/ieftzt8sbaWp4FMeBQ2a/awlEz3JURYt8yM8d3+iIgXZ4FQYBHU49AXttf2PzjpkeADVrk\ncc9jznV5vl4fqkXggd25FUXcT5LyumRacy0MSdfW+Af/+l8Tac2VH/6QpGJf3VqNp775TZ75wz9k\nOUmG6pFzvk/W7eIpxX3TpLA47zO+n2dIAC80m0dGj8y5LhpYjGNI01KP1Gyb1TQdORkiyjI0D/qB\nbKZHfLMGbvR6rCcJ73U6nDXlp2pgm6JHhGGIc+ERYDtfpL2IJmx3xvVmXWBvhiG/PTfHpXq97PRc\nzFBejmNWTPOgpm3TtCyUUsy7Lp+Z+cqZzkct/nhtja9OTfWN/asa1h+vreEMpD0uBAHXej2eq6Rg\nFce1W49ttQHO4PkXaZFXgoDFKOKrU1Mb7tuwMYbV2rriwVuNMEDuyc7IjUI10pCYtLsgywgxDZ1M\njaHWmkWt+TXT6OhzjQZBYVQsawoTAQAAIABJREFUi2nH4UKtxjemp9EqH1N5pdvlJ+vruJXji4wR\ncpQqIzttk0a6FMe4SnGxVmMxjvl5p8O7WcZ7nQ7fPHGCL05OcnlycsPa7JnPV41QtZtxEY34aavF\n/3PrFmtxzGKSMGHbzDgOAblz4KlKuuqLzSafBAG2UqVAWE0SIpO6mGhdOhaKY1hNkg3rfrAGc844\nZyxyIVZ0eC5EbmHMa5ZF06zzojN0EVXYr9rCYY3QCjzLGjq+bVyky7MgCAWPmh7RWvNxt1tGfV9q\nNgnStKylLzjKeuTpep13zYjrgsxkEMy4bhkFH7yXxVjrYkpGQaI1SmtuhyHPN5v8oz/+Y669+SY/\n/o//kbjVwvc8/o9/8k+ovfwyd8OQt9vtkXpk1nW5F0VkvV6pRzKtmXYcVsyIyv3SI9UGiNEe6ZHY\nOJiK8ZNVPZJkGZ005YVGo1wXxZqf97wy29LeQo+82+mUa2DKcfBN5g080CIgekQYjTgXjjnjfpH2\nMpqw3RnXo7yU0O8ZLTo9XwkClqIIWymeqNexLItZ2+ZsrYalFD9rt1mJImZcF8i7+P6npSXeWF/n\n10+cGHpOS3G84WGWAXeiiGfMXOJRx7VbirTC6stsYeC0MU5VQ3+j1+O3Tp4E+scYFhGUJMvoZBmv\nV7oAFyMbb4YhC70eS1HEvTjmvO/nUxaACcchSFNScoNlm2sXZBlOlvHj9XXO+D5fmZ7m1clJfuvk\nSbpZxlXTWTgwgsC3LJ5tNPLeD8aoOpbFad/HNYKrZlm8PDHBYhhyKwwJs4ye1vxtq8WEbXPG93Fs\nm/tJwoIZRfXa5OSG6z1YlzjYdOjpRgMFXOl2WUtTLNuGJKGbpkC+VleShDDLUOZeFJGl6j1vmP1Y\nVBolmevkmUjJ4Lp3leL15eVyrRUZCEtxTGYiQcV3bPB7Oue63A3DvMtzFJUzq3daW7gVo9Jyd1PP\nWDDu91sQhOPNo6ZHboUh18OQLMuYMZH1X3Q63I4inm80Rp7TUdQjH3W7vN/p5BF2o0cu+j7nfJ93\nBu5lVY9cDQI+6HQ46bo87nl9eqSYxuApxYXLl/ns0qVcj3Q63D9zhjMwVI/c6PVYNy/yn2s0sM01\nLUZeFsf2ptEBe61Hho0lnTUTKt5ut3etR/zKz0XmaaLzkahN26Zu20P7h/zZ0lK5jVF65NVmk+8u\nL/fd40KP3DbltkX2g+gRYRTiXDjmjPtF2o80oao3fDO28lIWD9YiWr9kuhtDbnBfMWMIF6OIV5pN\nPnNdnjMGZSVJsJSibh7aVcNQMOoauUqVNXuDD7OdemwHvfdaa37e6fBOu/3AKLsuZ0293+AYKMjv\nW6g1r01O8mqzWU4hSHXesbhjPPjVe/mj1VUAnm00eKHR4IpSXOv1uBGGnKvVOOX7nHTdfOSSyicz\n3IkilM5HZGn1oG4005pvnjjxoMmO1vzV2hrXgoBUa+Zcl7934gS/Oz+fCyse1P790tQ42kqVtYjr\naVoaS2X2cyeKeNxcg4zRtX1VI3TNOE0spcrreL3XY6HX46wRM0WdoSJPU60Zb70mN9jVtVY1bJ5l\ncd7zWDHNoj6LItaThDhNuViv9zVsqq776naUyht6XTB1k8W8b8gjHsUaLJo33YljVpOEOMuYtG3+\n/uzstmsLt8N2I3zjMs73WxCE48+jpEc+C0Mgj/SecJw+PdIyL5PDzumo6pHfm5/np60WnwQBaE3N\ntstSjsF7WdUjr0xMsGDS7xOt+/TIj9fXS2d+0UNhMz2iteaXnQ4/WF1lKUlwgCdrNX53fp5fnZnh\nmskMLK7frCnV2Gs98sOVlXIKRzEKEuDv2m1uhWG5XnaiR2ylmPc87pjtLBotkmQZ045DUJniMLjm\nx9EjnYoWAfr0yJIZl32+VuMbMzOiR4SRiHPhmLPVF8lVeaObhSDY8HcPK01oXC/l5YkJgjQlzDJs\nKA1fkXb+uOfxlakpLKBm2/y01Sof4sBQw5DqB915hx3Xad/fMG5nJ97TUZEYbVL/5j0vfzGGMkJg\nGY/xZkLCsSx+ZWaGKMubDU3aNv/f/fvluYVZRqZ1Ofe4ONdLjQaafPTQ5YmJ0tt+KwxZMR2219KU\nJ0yzoOV2uxQX2pQc/NnSEh92u3zY6WApxYvNJim5sbwbx3zO3NdPgoA0y6jZNr8yPU2UZdw1oyQ9\ny+JXzaxrpRRXgwCLfJzUY6YpkcXmHuVRdYlP12qEWnMnDLlYqzHjOGWDr66pVUy1ZsZxcM2xVtca\n9Bu2352f58Nul++trLBk6kOfbDT4xvT0SOE7bDtFY6tqtKr6PS1SbM/5Pmd8nyjLuNRolHOz94vt\nRvjGZT+jEIIgHB0eJT0y6zhEWcZjps6/qkeKNPSaZR0bPaJUPsLwtclJOpWMgNeXlwHKbIg4yzbo\nkZcnJrgbRSRal3okyTKCLKNrnC3j6JHvraxwOwyZcRxeMXoErfkoCPi9+XmUUn3Oj/3QI682m/xg\nZaUva7NYF1cr+96NHrno+8w5Dm+1Wlzr9bCU4oTr8lKzuekUh3H0yOB3tKpHTnsen5+YwDFaRPSI\nMApxLhxzRn2RqqnzB9GwZZBxvJRKKb5mHvzDOuHWLIuzvk/Ntjc0OwRKr3uUZQRpykcmfS7KMq6b\n2cCXKjN0U635xswMSqlde0+HRWIWgoCFXo9nG42+FLXEGLvPNRpMDVz3wQfgoEjIyEslfKV4v9PJ\nxxZlGS3jbX612Sz3f8k0aoq1Jk1TPMvi906fJtOaX5ga0aKpYLq2xhNTU7hK8WGnk+/DslhLErpZ\nhtb5iKYzJkNgOY75/spKOZoJIxqraZUnXZfPN5s0HQfbsrhrUks1cM8Y+ynH4e12mxMmpXAYyjg2\nBvskALiAVnna4MvNZp62ST6RoZdl1IAXG40NnaxHGbbLU1P4lkWodVkqUTBM+I5rIEdFwjDXtBCh\nLzebpSjdLyM4boRvO+xXFEIQhKPDo6RHJmwbTG14L8v69Eg1A+C46ZFqCUSqNX+zvs6EbXM7iuik\nKZ5SdNOUadct9Uixv1thSCdNsZXiQr3O78zN8Va7zc87nS31iGtZfGZ6N6wnCWD0iMpLZX9Sr+fT\nKPKbt296JNSaC75fNsIcXBeYn3erRwAats1XjfaqlkqMcsKNo0eq39FiDVhGQ53yPBqVTCLRI8Io\nxLlwSNjPeavDvkjV1PmDaNgyyHZewjbr/lw8JDY0O4TS6+5ZVtnttzCuz5oRNx8HAedNTVm1HnI3\n3tNRdaYZcMeMrbJVnqJWzExOs4zfmpvrExzDHoCDIiHVmo86nbLzsqcUmZWPlrxlyiCKGcFKKZ5v\nNPj2yZP0sjxxr2iU8/nJyb5avyvm/1OtWTVpg7HJjEhNtsB6mnLaRDgKkfBkvU7TtrkSBNyNIk55\nXrm+1k1H7OdM00PIa0oXej16WcYJE7kvHBfvdjojU2KH1SUW6+W052GRr+uifOas5+XdrOOYf3z+\nfN9aGfx81bAV12nGzAQveivYSm0qfMcxkJtFwrTWfNjt0ssyLDhyo5P2KwohCMLest+z3x8VPXLR\nHPeNXg9XqdLGVLVIcU7HVY/8stvldhiSmF5MNhBnGe0sw0nTUo9UU/S/NTtLzegLrfKRzK9OTGyp\nR1pFOr9lYQ3okeu9Hh91u8ya5pL7qUeKyH9RwjD4uzO+z+0w3LUe6ZjmkdVGnIUe2coJt5UeKe7p\nx90unSTZMLlK9IiwFeJcOGAexlimUY3mii+TrUzn2CjqG0lzEGlC476EwWivY/HfhV6PO2GIV5lJ\nnGrNGd8vDXmBUopnGw2iLONbs7MbutHuxnu6WQ1lMV2hei9spUiNcd7sAThKJADciyLOG0NQ9JzQ\n5F7op83+Uq055/v8zHQGHhwvdc73WTTe++q5zJhGVtDvLc+0zhsmkfd9OGPbuOpBMyhHbRx5pKDc\nbyEu/t9793CV4jHPQ6sHJQ6bpcRulur2zUq056wZKznveXxpcpKfLi1t63tWMxGnKybDoEjNnHNd\nLpoMg52yWSTsShCwahxG1egEHK3RSfsRhRAEYfc8rBGRj5oeKX43aVmspSmnTONl4FjrkVRr7icJ\n047DB51Onx4hy5iwLO4nSVkakWrNE2ak5070SNO2+zIJq3ok1JpJ019hv/XIVmn3lycmeHsP9Mg4\nzSN3SvEdfdmMGR2811d7PdEjwqaIc+GAeZjzVosv0mDDFnjQOfZ2r0crSZh0nEObJrSV17H4/bBm\nh+drNZ6r11kIgqFNpQpDt5cCZlSdqa3ysZlJlpFW9jkookY9AIeJhLio2TOef4vcmF+o1Ui0ppum\nffd3sNmS1pofrqzwg5UVznteOWs7NhkKT9XrpdGyleKU57EYRbTTtGwEGWUZDfO7wZTQota0OLdz\nnpfXd8ZxWdbxcrPJc40GCf0v2JGZEz7KGGwm8qrRHl8p3u10+PP79/kwSVgyM8THEdG2UnSyrByd\nVdzXu1HEY0PqUbdiMEo4LBKW6nxU17y5ntVjkdFJgiDsBQ979vujokeK3/3miRNlhkKvYp+Oqx4p\nSlPnXHeDHjnj+zzfaLAcx3umR1yluOD7XA/DvFGi0SO9LOOs75dlKNWS2f3SI1tpkep62akeKZwY\no5pHbpbpOYpBPeJZFpcajfI5UPyN6BFhK8S5cICMM5ZpPxhmXAbT0nYzR/ZhsZXXsWh2OPjATLXe\ncbfYVOuyWdG412iYJzvVmg86HSzg016P1TRlxnG4VK8z73m8ajzGmzHsPrpKUbNtTnkel+p1EpPG\n71kWKMWrzSb/48mT5XX7s6WlDR7p+3EMZj0U0ZMVpfjtuTlspXjLrE9bqTJl/712m4Tc63/K8/qi\nM9WU0MFu075t87XpaYANUazBh9NW92YrkVesl7darfL4fSMWxhXRqc67VZ8yAqSIFJzyPJomTXOc\nNbFZlHBQmGTAdKUutYqMThIEYbcc5Oz3R0GP2Eox4Th8aWqKy4+IHqna/UE94lgWzzebpFqX9xd2\nr0e+MTPDj1ZX+bTXw1OKFHh1YiLvfzHkuPZLj4zb22C3emSz5pHb+d6KHhH2GnEuHCDjjGXaDzZL\n27pYrzPlHK9lMWj0t0pbG/Yw1lrzVqvFD1dXyxGNp32fb8zM8Nrk5JYR7+IBfT0I+CgI+LDTKff3\nmOfx5UaDD7vdfLKC1nx3eXlL7/Ww87CV4jHXJUgSFqOIVpqSmRrB877PU5X7OxgxKtIFLWOoCo++\nZ1msDjmXwtg8Va/zqzMzPGtqCJu2XTZ1sqnMSTY1jqMiIsPGNxZEWca86bq9GVvVC+9WRHfSlHaa\n8mStVtajFtGMYIvMiipbRQmHpQ0PWwcyOkkQhN1ykLPfRY8cTz1StfvnTYZjK01JsowZ1+VqEPCN\nmZk91yO/NjPDac/jyVqNE66LZ1l9L/APU49sxW71SDfLmHddnqrXSQeaR26V6VlF9Iiw1xyvp/YR\n4yDnrT7q3VJHnf+rzSadNN3wcvp2u82PVldZSRLq5r7cj2N+tLpaeqk3o/ibVGu6WcZakpTzm5fi\nmBu93oMpDmbf43ivh53HN2Zm+IXj8P3VVRKtUVoz7bqcNZMcCgbXXzVdcNCjn0BpqMbxyg8bnfSY\n69K0LAIzmWLUeqt+NjRNljSQaM2fjUgZHLdeeKciutj+QhDwXrvd18ej2P6439lxBUVVhMroJEEQ\n9ouDnv0ueuR46pHC7n8WhiyZyQhTjsPjQ17MRY/0s1M9UiB6RDhIxLlwgOzEY71XPOrdUkfVvX13\neXmDMcjIxzTdT5K+GdOWUtw3M7nHST9LdT5D2rMsMq2h8vfXwzCv66t46MfxXo8aUXQzDPmfHnuM\n0GS/FI0Xb4YhX6hsv7r+inTBwW7WkD8oBg3VZmmgo9bXOJ3Iq5/98doajrVx5CP0i5xx64V3KqKL\n7XuWxZlarWw2Bnk38+18Z3ciKB518S0Iwv5xkFoERI8cdz3yn+7d46KZQlGNsIseET0iHE/EuXDA\nHPSXdKu+BceBzQzIsLq3QWPwfKNB16TzDRqCJMvojJl+VjzEC098uQ2tibIs72w84KEfNyW1eh+r\n6YWNgc8Nbm9w/c2aFMWqBzzVmtNqZ02lhqWAbme9LcXxhms+KHK2k1q4ExE9uP3qDPBbYcgF398w\nl3ozdiIoHnXxLQjC/nLQWgSOvx7Z6mX2uOqRVOvyPDbbnuiRB+coekQ4yohz4YCRL+n+MW5q2lbG\n4OVmk4ZtD5097FgWTdseK/2sOv+4GLVVdDT2LAuLjR76naSkbsdYVEcOrSYJ07bN+91ufs0q6YJ6\nGwZ4p3PSBz83zKOeap3P3TZ/27TtbXve+9IczbY2E9GD2y+ajT1Zq7GeJHxrdnZbdcG7iRIed/Et\nCMLBIFpk/9jOmE/RI6JHRI8IRx1xLhwS5Eu694ybmraVMYhNY6mFXq8vFTHTmlnXLdP9tqL6EK96\nm8Ms45zvb6iZ22lK6naMxSjR81snTxJqXRrWt8Y4hs0EVAYjDfyoz73abJaiZHCWs1KKp+p1vjQ5\nuW3Pe1VEz336KV8zXadHsdnorinH2dH39jBECQVBEAYRLbL3bGfMp+gR0SOiR4SjjjgXhGPJdlLT\nxjEGlycm8pnLQ7ozb+cBXH2In/U8Lvg+857HVyYneW+Ih36nD/dxjcVezjYftq3rQcAHnQ4Ttj0y\nYrPZMRSi5Jox5BbgKMWc53E7DHnbGOadpBb2sgwPthRL+1GPPG6UcKdRF0EQBOHg2e5EANEjokc2\nQ/SIcBQQ54JwLNlOatq4D+svTk3xhcnJbc+VrrLZQ3wvU1LHMRZ7Odt81LYWwpC7UcRXpqaGioWt\njuG3Tp4k05o31tfRpgZ0zvPKKQ3FcY4rXgajEteTBLvV2nTEFuyfZ39UlHA7abSCIAjC4WS7afKi\nR0SPiB4RjjriXBCOJdtNTRv3YV2knu2WUQ/xvU5J3Wx7eznbfFQ94lIck5m6xGoTo8IIb3UModa8\n0GxytdvFNs2lqoa/epzjiKHBqERxLLB5ZORh1yPvZQRHEARBOBh20jBP9Eg/okf6ET0iHHbEuSAc\nS7abOvYoNrPay9nmw7ZVzKke7DgND4zwuMdQGxGVGTzOzcTLXkRGHkY98l5GcARBEISDYydp7KJH\n+hE9MhzRI8JhZXttXwXhCHF5YoLztRqp1gRmHNJWqWPFw/phPCxTrcsxTQdBIXoG97+T2r1h23KV\nQim1oeM0PDDC4xzDXh1nEZUYRiEuDgNH5TgFQRCErdmJFgHRI8VxiR45OI7KcQqHC8lcEI4th9X7\nf5jq1/aydm/Ytl5qNmkORAIGjfA4x7AXx7mXkZH95KgcpyAIgrA1h1WLgOgR0SObc1SOUzhciHNB\nOLZUO9septFah6l+bS9Fz7BtWTBSuGznGPbiOPejy/J+cFSOUxAEQdiaw6pFQPSI6JHNOSrHKRwu\nxLkgHDsOkyd+kMNav7aXtXuD2xrXCI9zDLs9zsGIw7jpqQ8bmTstCIJwtDnMWgREj4geGQ/RI8J2\nEeeCcOw4TJ74QfayI/JR4mE0HhqHwYjDz2/cOPA1MYzDnEYrCIIgbM1h1iIgeuSgET0iHFekWEY4\nVmzliT+oZkUFUr92OHiYjbJ2w1E5TkEQBOEBh12LgOiRw8JRsfNH5TiFg0eeHMKx4rB3tt3LjsgP\nk4PuJC0IgiAIR4XDrkVA9IggCPuDlEUIx4qj4Ik/SvVrRc3oXyYJC0tLh65mVBAEQRAOG0dBi4Do\nEUEQ9h5xLgjHiqPQ2fYo1a8d9ppRQRAEQThsHAUtAqJHBEHYew6H61QQ9pDLExNlql9gUucOoyf+\nsNevHYWaUUEQBEE4jBwVLQKiRwRB2Dskc0E4dhwlT/xh5lHtJC0IgiAIu0W0yN4hekQQjg7iXBCO\nLYdl3NBR5ajUjAqCIAjCYUW0yO4RPSIIRwf5NgqCMJSj2klaEARBEITjg+gRQTg6SOaCIAgjKWpD\nr5ia0cPcSVoQBEEQhOOJ6BFBOBqIc0EQhJEUNaOp4/Di3JzUjAqCIAiC8NARPSIIRwNxLgiCsCVS\nMyoIgiAIwkEjekQQDjfSc0EQBEEQBEEQBEEQhF0hzgVBEARBEARBEARBEHaFOBcEQRAEQRAEQRAE\nQdgV4lwQBEEQBEEQBEEQBGFXiHNBEARBEARBEARBEIRdIc4FQRAEQRAEQRAEQRB2hTgXBEEQBEEQ\nBEEQBEHYFeJcEARBEARBEARBEARhV4hzQRAEQRAEQRAEQRCEXSHOBUEQBEEQBEEQBEEQdoU4FwRB\nEARBEARBEARB2BXiXBAEQRAEQRAEQRAEYVeIc0EQBEEQBEEQBEEQhF0hzgVBEARBEARBEARBEHaF\nOBcEQRAEQRAEQRAEQdgV4lwQBEEQBEEQBEEQBGFXiHNBEARBEARBEARBEIRdIc4FQRAEQRAEQRAE\nQRB2hTgXBEEQBEEQBEEQBEHYFeJcEARBEARBEARBEARhV4hzQRAEQRAEQRAEQRCEXSHOBUEQBEEQ\nBEEQBEEQdoU4FwRBEARBEARBEARB2BXiXBAEQRAEQRAEQRAEYVeIc0EQBEEQBEEQBEEQhF3h7PSD\n/+pf/SveffddlFL8i3/xL3jllVf28rgEQRAEQRC25P9v7w5jqirjOI5/LwiSiSbFVZu60pUtZiZp\nNkgMEpdYrlYabKzaaKYQUVFEZEEvUjNqc7O0CNM5lwzkBTkXrtTNBUGJo6Q5MjcjLeUmahANLj69\nYNxxvVxEQO4919/nFec858j/7M+55+fDOQflEREREf8wqMmF2tpaTp48SUlJCb/99ht5eXmUlJQM\nd20iIiIiXimPiIiI+I9BPRZRXV3NokWLAJgxYwYXLlygtbV1WAsTERER6Y/yiIiIiP8Y1OSCw+Fg\nwoQJruWIiAiam5uHrSgRERGRK1EeERER8R+DfudCb8aYK25z+PDh4fhWPv8evqDjshYdl7XouKwl\nUI9LhofyyLWl47IWHZe16LisJVCPa6gGNblgt9txOByu5bNnzxIZGel1+/vuu28w30ZERETEK+UR\nERER/zGoxyJiY2OprKwEoKGhAbvdztixY4e1MBEREZH+KI+IiIj4j0HduRAdHU1UVBTJycnYbDby\n8/OHuy4RERGRfimPiIiI+A+bGcgDiiIiIiIiIiIiXgzqsQgRERERERERkR6aXBARERERERGRIRmW\nP0U5kmpra8nKymLt2rXEx8cDcOzYMQoKCgCYOXMm7777rts+nZ2d5Obmcvr0aYKDg1m3bh1Tp04d\n6dIHZPPmzVRVVQFw6dIlHA6H62VVPaKiooiOjnYtb9u2jeDg4BGt82qVl5ezceNGpk2bBkBMTAyr\nV69226aiooLt27cTFBTEihUrWL58uS9KvSpOp5O33nqL33//na6uLnJycpg7d67bNlbr19q1a6mv\nr8dms5GXl8c999zjGquqquKjjz4iODiYuLg4MjIyfFjp1dmwYQOHDx/G6XTywgsvsHjxYtdYQkIC\nkyZNcvWlsLCQiRMn+qrUAaupqSErK4s77rgDgDvvvJO3337bNW7VfpWWllJRUeFaPnr0KEeOHHEt\nW61fjY2NpKen89xzz5Gamsqff/5JTk4OXV1dREZG8sEHHxAaGuq2T3/nofiHQM4jyiLWyiIQeHkk\nULMIKI9YqWfKI4PII8ZCTp48aVatWmXS09PN/v37XetTU1NNfX29McaYV1991Rw8eNBtv/LyclNQ\nUGCMMebQoUMmKytr5IoegvLyclNUVOSx/v777/dBNUOze/dus379eq/jbW1tZvHixebixYumvb3d\nLF261LS0tIxghYNTVlZm8vPzjTHGNDY2mieffNJjGyv1q6amxqxcudIYY8zx48fNihUr3MaXLFli\nTp8+bbq6ukxKSor59ddffVHmVauurjbPP/+8McaYc+fOmYULF7qNx8fHm9bWVh9UNjTff/+9yczM\n9Dpu1X71VlNT4/r87mGlfrW1tZnU1FSzZs0as2PHDmOMMbm5uWbv3r3GGGM+/PBDs3PnTrd9rnQe\niu9dT3lEWcT/s4gxgZVHAjWLGKM8YsWe9VAeGVgesdRjEZGRkWzatInw8HDXuo6ODk6dOuWaRYmP\nj6e6utptv+rqahITE4HuWeq6urqRK3qQnE4nX375Jampqb4uZUTU19cza9YswsPDCQsLIzo62hJ9\nWrZsGW+++SYAERERnD9/3scVDU11dTWLFi0CYMaMGVy4cIHW1lYAmpqaGD9+PJMnTyYoKIiFCxd6\nnGv+at68eWzcuBGAcePG0d7eTldXl4+ruras3K/ePv74Y9LT031dxqCFhoZSVFSE3W53raupqeHh\nhx8GvF+zvJ2H4h+ulzyiLGKNLAKBlUcCNYuA8ogVe9ZDeWRgecRSkws33HCDx+1bLS0tjBs3zrV8\n880309zc7LaNw+EgIiICgKCgIGw2Gx0dHde+4CHYt28fDz74IGFhYR5jHR0dZGdnk5yczBdffOGD\n6gantraWtLQ0nn32WX755Re3sd49gu4L4+V99EchISGMHj0agO3bt/Poo496bGOlfjkcDiZMmOBa\n7t2H5uZmS/YIIDg4mDFjxgBQVlZGXFycx2dJfn4+KSkpFBYWYiz0R3SOHz/OqlWrSElJ4bvvvnOt\nt3K/evz0009MnjyZyMhIjzGr9GvUqFEen+Pt7e2u2w69XbO8nYfiH66XPKIsYp1zL5DySKBmEVAe\nAev1DJRHegykd377zoXS0lJKS0vd1mVmZrJgwYJ+9xtIU/2l8f0d4+7duz2e1eyRk5PDsmXLsNls\npKamMnfuXGbNmjUSJQ9IX8e1dOlSMjMzeeihhzhy5AhvvPEGX331ldd/w1961Ft//dq5cycNDQ1s\n2bLFYz9/71d//LEPQ/HNN99QVlbG1q1b3da/9NJLLFiwgPHjx5ORkUFlZSWPPPKIj6ocuNtuu40X\nX3yRJUuW0NTUxDPPPMM2TgtVAAAEHUlEQVS+ffs8npezqrKyMp544gmP9VbtV1+sdM26XgV6HlEW\nsVYWgesvj/hrH4ZCecRalEcGvo3fTi4sX758QC/RufzWrzNnzrjd7gFgt9tpbm7mrrvuorOzE2OM\nX/ywezvGf//9l7/++ospU6b0uV9KSorr6wceeIDGxka/ujhcqXdz5szh3LlzdHV1uWZr7XY7DofD\ntc3Zs2e59957r3mtV8PbcZWWlrJ//34++eQTQkJCPMb9vV+99dWHnlnay8f6Otf82aFDh9iyZQuf\nf/65263MAI8//rjr67i4OBobGy1xcZg4cSJJSUkATJs2jVtuuYUzZ84wdepUy/cLum/XW7Nmjcd6\nq/arx5gxY/jvv/8ICwvzes3ydh7KyAv0PKIsYq0sAoGfRwI5i4DyiBV7pjzSbSB5xFKPRfQlJCSE\n6dOn8+OPPwLdt/Bd/tuE2NhYvv76awAOHDjA/PnzR7zOq3Hs2DGmT5/e59iJEyfIzs7GGIPT6aSu\nrs71ZlZ/VlRUxJ49e4DuN5VGRES43QY2e/Zsfv75Zy5evEhbWxt1dXUebzn2R01NTezatYtNmza5\nbkfszWr9io2Ndb0RvKGhAbvdztixYwGYMmUKra2t/PHHHzidTg4cOEBsbKwvyx2wf/75hw0bNvDp\np59y0003eYylpaW5bk3+4Ycf/LpHvVVUVFBcXAx033b4999/u95SbOV+QXf4uPHGGz3+42XlfvWI\niYlxnWferlnezkPxX4GWR5RFrJNFILDySKBmEVAesWLPlEeuLo/47Z0LfTl48CDFxcWcOHGChoYG\nduzYwdatW8nLy+Odd97h0qVLzJ49m5iYGABWr17N5s2bSUpKoqqqipSUFEJDQ1m/fr2Pj6R/lz+b\nBPDZZ58xb9485syZw6RJk3jqqacICgoiISHBEn+i7LHHHuP1119n165dOJ1O3nvvPcD9uLKzs0lL\nS8Nms5GRkeExm+uPSktLOX/+PCtXrnStKy4uZtu2bZbsV3R0NFFRUSQnJ2Oz2cjPz6e8vJzw8HAS\nExMpKCggOzsbgKSkJG6//XYfVzwwe/fupaWlhZdfftm1bv78+cycOZPExETi4uJ4+umnGT16NHff\nfbdlZp0TEhJ47bXX+Pbbb+ns7KSgoIA9e/ZYvl/g+TnY++fQSv06evQo77//PqdOnWLUqFFUVlZS\nWFhIbm4uJSUl3Hrrra7ffLzyyiusW7euz/NQ/Mv1kEeURayTRSCw8kigZhFQHgHr9Ux55OryiM0E\n4oNMIiIiIiIiIjJiLP9YhIiIiIiIiIj4liYXRERERERERGRINLkgIiIiIiIiIkOiyQURERERERER\nGRJNLoiIiIiIiIjIkGhyQURERERERESGRJMLIiIiIiIiIjIkmlwQERERERERkSH5Hwagkf5ZSKRN\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae52238dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = numpy.empty(shape=(0, 2))\n",
    "X = numpy.concatenate((X, numpy.random.normal(4, 1, size=(200, 2)).dot([[-2, 0.5], [2, 0.5]])))\n",
    "X = numpy.concatenate((X, numpy.random.normal(3, 1, size=(350, 2)).dot([[-1, 2], [1, 0.8]])))\n",
    "X = numpy.concatenate((X, numpy.random.normal(7, 1, size=(700, 2)).dot([[-0.75, 0.8], [0.9, 1.5]])))\n",
    "X = numpy.concatenate((X, numpy.random.normal(6, 1, size=(120, 2)).dot([[-1.5, 1.2], [0.6, 1.2]])))\n",
    "y = numpy.concatenate((numpy.zeros(550), numpy.ones(820)))\n",
    "\n",
    "model_a = BayesClassifier.from_samples(MultivariateGaussianDistribution, X, y)\n",
    "\n",
    "gmm_a = GeneralMixtureModel.from_samples(MultivariateGaussianDistribution, 2, X[y == 0])\n",
    "gmm_b = GeneralMixtureModel.from_samples(MultivariateGaussianDistribution, 2, X[y == 1])\n",
    "model_b = BayesClassifier([gmm_a, gmm_b], weights=numpy.array([1-y.mean(), y.mean()]))\n",
    "\n",
    "xx, yy = np.meshgrid(np.arange(-10, 10, 0.02), np.arange(0, 25, 0.02))\n",
    "Z1 = model_a.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "Z2 = model_b.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "centroids1 = numpy.array([distribution.mu for distribution in model_a.distributions])\n",
    "centroids2 = numpy.concatenate([[distribution.mu for distribution in component.distributions] for component in model_b.distributions])\n",
    "\n",
    "plt.figure(figsize=(18, 8))\n",
    "plt.subplot(121)\n",
    "plt.contour(xx, yy, Z1)\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='c', alpha=0.3)\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='m', alpha=0.3)\n",
    "plt.scatter(centroids1[:,0], centroids1[:,1], color='k', s=100)\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.contour(xx, yy, Z2)\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='c', alpha=0.3)\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='m', alpha=0.3)\n",
    "plt.scatter(centroids2[:,0], centroids2[:,1], color='k', s=100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Frequently in the real world you will end up with data that looks like the ones in the above plots, not neatly falling into any single simple distribution. Using a mixture here allowed us to model the various components separately and get a more sophisticated decision boundary that doesn't seem to be extremely overfit.\n",
    "\n",
    "If one wanted to use hidden Markov models to model sequences, all that needs to change is passing in `HiddenMarkovModel` objects instead of `GeneralMixtureModel` ones. Likewise, Bayesian networks are similarly supported and can be passed in just as easily. In fact, the most stacking one could reasonably do is to create a Bayes classifier that distinguishes mixtures of hidden Markov models with mixture emissions (GMM-HMM-GMMs) from each other!"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
